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Finding the Fourth Proportional to 318,312.08, 477,468.24 and 81,654.76

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Solution

The fourth proportional to 318,312.08, 477,468.24 and 81,654.76 is: 122,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,312.08 : 477,468.24 = 81,654.76 : x
  2. Step 2: Convert to fraction form
    318,312.08/477,468.24 = 81,654.76/x
  3. Step 3: Cross multiply
    318,312.08x = 477,468.24 × 81,654.76
  4. Step 4: Simplify right side
    318,312.08x = 38,987,554,544.82
  5. Step 5: Solve for x
    x = 38,987,554,544.82/318,312.08
  6. Step 6: Final answer
    x = 122,482.17

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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.