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Finding the Fourth Proportional to 601,812.56, 830,207.40 and 506,284.40

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Solution

The fourth proportional to 601,812.56, 830,207.40 and 506,284.40 is: 698,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,812.56 : 830,207.40 = 506,284.40 : x
  2. Step 2: Convert to fraction form
    601,812.56/830,207.40 = 506,284.40/x
  3. Step 3: Cross multiply
    601,812.56x = 830,207.40 × 506,284.40
  4. Step 4: Simplify right side
    601,812.56x = 420,321,055,384.56
  5. Step 5: Solve for x
    x = 420,321,055,384.56/601,812.56
  6. Step 6: Final answer
    x = 698,425.20

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Similar ratio
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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.