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Finding the Fourth Proportional to 318,666.47, 477,311.63 and 149,933.96

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Solution

The fourth proportional to 318,666.47, 477,311.63 and 149,933.96 is: 224,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,666.47 : 477,311.63 = 149,933.96 : x
  2. Step 2: Convert to fraction form
    318,666.47/477,311.63 = 149,933.96/x
  3. Step 3: Cross multiply
    318,666.47x = 477,311.63 × 149,933.96
  4. Step 4: Simplify right side
    318,666.47x = 71,565,219,703.73
  5. Step 5: Solve for x
    x = 71,565,219,703.73/318,666.47
  6. Step 6: Final answer
    x = 224,577.19

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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.