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Finding the Fourth Proportional to 499,202.60, 748,581.95 and 309,655.31

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Solution

The fourth proportional to 499,202.60, 748,581.95 and 309,655.31 is: 464,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,202.60 : 748,581.95 = 309,655.31 : x
  2. Step 2: Convert to fraction form
    499,202.60/748,581.95 = 309,655.31/x
  3. Step 3: Cross multiply
    499,202.60x = 748,581.95 × 309,655.31
  4. Step 4: Simplify right side
    499,202.60x = 231,802,372,818.88
  5. Step 5: Solve for x
    x = 231,802,372,818.88/499,202.60
  6. Step 6: Final answer
    x = 464,345.29

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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.