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Finding the Fourth Proportional to 472,318.16, 651,805.92 and 257,458.30

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Solution

The fourth proportional to 472,318.16, 651,805.92 and 257,458.30 is: 355,296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,318.16 : 651,805.92 = 257,458.30 : x
  2. Step 2: Convert to fraction form
    472,318.16/651,805.92 = 257,458.30/x
  3. Step 3: Cross multiply
    472,318.16x = 651,805.92 × 257,458.30
  4. Step 4: Simplify right side
    472,318.16x = 167,812,842,463.62
  5. Step 5: Solve for x
    x = 167,812,842,463.62/472,318.16
  6. Step 6: Final answer
    x = 355,296.19

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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.