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Finding the Fourth Proportional to 499,225.60, 748,841.60 and 199,731.20

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Solution

The fourth proportional to 499,225.60, 748,841.60 and 199,731.20 is: 299,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,225.60 : 748,841.60 = 199,731.20 : x
  2. Step 2: Convert to fraction form
    499,225.60/748,841.60 = 199,731.20/x
  3. Step 3: Cross multiply
    499,225.60x = 748,841.60 × 199,731.20
  4. Step 4: Simplify right side
    499,225.60x = 149,567,031,377.92
  5. Step 5: Solve for x
    x = 149,567,031,377.92/499,225.60
  6. Step 6: Final answer
    x = 299,598.08

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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.