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Finding the Fourth Proportional to 318,046.68, 477,070.32 and 149,443.36

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Solution

The fourth proportional to 318,046.68, 477,070.32 and 149,443.36 is: 224,165.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,046.68 : 477,070.32 = 149,443.36 : x
  2. Step 2: Convert to fraction form
    318,046.68/477,070.32 = 149,443.36/x
  3. Step 3: Cross multiply
    318,046.68x = 477,070.32 × 149,443.36
  4. Step 4: Simplify right side
    318,046.68x = 71,294,991,577.08
  5. Step 5: Solve for x
    x = 71,294,991,577.08/318,046.68
  6. Step 6: Final answer
    x = 224,165.18

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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.