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Finding the Fourth Proportional to 499,311.79, 748,951.28 and 199,711.91

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Solution

The fourth proportional to 499,311.79, 748,951.28 and 199,711.91 is: 299,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,311.79 : 748,951.28 = 199,711.91 : x
  2. Step 2: Convert to fraction form
    499,311.79/748,951.28 = 199,711.91/x
  3. Step 3: Cross multiply
    499,311.79x = 748,951.28 × 199,711.91
  4. Step 4: Simplify right side
    499,311.79x = 149,574,492,248.48
  5. Step 5: Solve for x
    x = 149,574,492,248.48/499,311.79
  6. Step 6: Final answer
    x = 299,561.31

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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.