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Finding the Fourth Proportional to 499,378.20, 747,512.10 and 288,389.40

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Solution

The fourth proportional to 499,378.20, 747,512.10 and 288,389.40 is: 431,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,378.20 : 747,512.10 = 288,389.40 : x
  2. Step 2: Convert to fraction form
    499,378.20/747,512.10 = 288,389.40/x
  3. Step 3: Cross multiply
    499,378.20x = 747,512.10 × 288,389.40
  4. Step 4: Simplify right side
    499,378.20x = 215,574,566,011.74
  5. Step 5: Solve for x
    x = 215,574,566,011.74/499,378.20
  6. Step 6: Final answer
    x = 431,685.98

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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.