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Finding the Fourth Proportional to 499,542.68, 749,116.79 and 199,967.42

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Solution

The fourth proportional to 499,542.68, 749,116.79 and 199,967.42 is: 299,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,542.68 : 749,116.79 = 199,967.42 : x
  2. Step 2: Convert to fraction form
    499,542.68/749,116.79 = 199,967.42/x
  3. Step 3: Cross multiply
    499,542.68x = 749,116.79 × 199,967.42
  4. Step 4: Simplify right side
    499,542.68x = 149,798,953,397.81
  5. Step 5: Solve for x
    x = 149,798,953,397.81/499,542.68
  6. Step 6: Final answer
    x = 299,872.18

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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.