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Finding the Fourth Proportional to 493,932.66, 740,812.89 and 138,862.28

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Solution

The fourth proportional to 493,932.66, 740,812.89 and 138,862.28 is: 208,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,932.66 : 740,812.89 = 138,862.28 : x
  2. Step 2: Convert to fraction form
    493,932.66/740,812.89 = 138,862.28/x
  3. Step 3: Cross multiply
    493,932.66x = 740,812.89 × 138,862.28
  4. Step 4: Simplify right side
    493,932.66x = 102,870,966,958.79
  5. Step 5: Solve for x
    x = 102,870,966,958.79/493,932.66
  6. Step 6: Final answer
    x = 208,269.21

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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.