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Finding the Fourth Proportional to 417,319.78, 625,769.18 and 297,308.16

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Solution

The fourth proportional to 417,319.78, 625,769.18 and 297,308.16 is: 445,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,319.78 : 625,769.18 = 297,308.16 : x
  2. Step 2: Convert to fraction form
    417,319.78/625,769.18 = 297,308.16/x
  3. Step 3: Cross multiply
    417,319.78x = 625,769.18 × 297,308.16
  4. Step 4: Simplify right side
    417,319.78x = 186,046,283,490.51
  5. Step 5: Solve for x
    x = 186,046,283,490.51/417,319.78
  6. Step 6: Final answer
    x = 445,812.28

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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.