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Finding the Fourth Proportional to 499,657.80, 748,611.90 and 410,428.20

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Solution

The fourth proportional to 499,657.80, 748,611.90 and 410,428.20 is: 614,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,657.80 : 748,611.90 = 410,428.20 : x
  2. Step 2: Convert to fraction form
    499,657.80/748,611.90 = 410,428.20/x
  3. Step 3: Cross multiply
    499,657.80x = 748,611.90 × 410,428.20
  4. Step 4: Simplify right side
    499,657.80x = 307,251,434,615.58
  5. Step 5: Solve for x
    x = 307,251,434,615.58/499,657.80
  6. Step 6: Final answer
    x = 614,923.72

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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.