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Finding the Fourth Proportional to 416,605, 625,014.06 and 121,117

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Solution

The fourth proportional to 416,605, 625,014.06 and 121,117 is: 181,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,605 : 625,014.06 = 121,117 : x
  2. Step 2: Convert to fraction form
    416,605/625,014.06 = 121,117/x
  3. Step 3: Cross multiply
    416,605x = 625,014.06 × 121,117
  4. Step 4: Simplify right side
    416,605x = 75,699,827,905.02
  5. Step 5: Solve for x
    x = 75,699,827,905.02/416,605
  6. Step 6: Final answer
    x = 181,706.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.