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Finding the Fourth Proportional to 493,581.71, 740,417.75 and 138,593.34

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Solution

The fourth proportional to 493,581.71, 740,417.75 and 138,593.34 is: 207,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,581.71 : 740,417.75 = 138,593.34 : x
  2. Step 2: Convert to fraction form
    493,581.71/740,417.75 = 138,593.34/x
  3. Step 3: Cross multiply
    493,581.71x = 740,417.75 × 138,593.34
  4. Step 4: Simplify right side
    493,581.71x = 102,616,968,967.79
  5. Step 5: Solve for x
    x = 102,616,968,967.79/493,581.71
  6. Step 6: Final answer
    x = 207,902.70

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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.