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Finding the Fourth Proportional to 902,876,786.66, 1,245,974,378.86 and 506,420,964.16

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Solution

The fourth proportional to 902,876,786.66, 1,245,974,378.86 and 506,420,964.16 is: 698,863,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,876,786.66 : 1,245,974,378.86 = 506,420,964.16 : x
  2. Step 2: Convert to fraction form
    902,876,786.66/1,245,974,378.86 = 506,420,964.16/x
  3. Step 3: Cross multiply
    902,876,786.66x = 1,245,974,378.86 × 506,420,964.16
  4. Step 4: Simplify right side
    902,876,786.66x = 630,987,546,260,938,240
  5. Step 5: Solve for x
    x = 630,987,546,260,938,240/902,876,786.66
  6. Step 6: Final answer
    x = 698,863,405.93

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.