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Finding the Fourth Proportional to 493,632.56, 740,476.53 and 138,618.90

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Solution

The fourth proportional to 493,632.56, 740,476.53 and 138,618.90 is: 207,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,632.56 : 740,476.53 = 138,618.90 : x
  2. Step 2: Convert to fraction form
    493,632.56/740,476.53 = 138,618.90/x
  3. Step 3: Cross multiply
    493,632.56x = 740,476.53 × 138,618.90
  4. Step 4: Simplify right side
    493,632.56x = 102,644,042,064.42
  5. Step 5: Solve for x
    x = 102,644,042,064.42/493,632.56
  6. Step 6: Final answer
    x = 207,936.13

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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.