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Finding the Fourth Proportional to 387,407.34, 581,144.49 and 106,924.59

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Solution

The fourth proportional to 387,407.34, 581,144.49 and 106,924.59 is: 160,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,407.34 : 581,144.49 = 106,924.59 : x
  2. Step 2: Convert to fraction form
    387,407.34/581,144.49 = 106,924.59/x
  3. Step 3: Cross multiply
    387,407.34x = 581,144.49 × 106,924.59
  4. Step 4: Simplify right side
    387,407.34x = 62,138,636,324.01
  5. Step 5: Solve for x
    x = 62,138,636,324.01/387,407.34
  6. Step 6: Final answer
    x = 160,396.13

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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.