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Finding the Fourth Proportional to 318,497.76, 477,763.38 and 81,842.04

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Solution

The fourth proportional to 318,497.76, 477,763.38 and 81,842.04 is: 122,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,497.76 : 477,763.38 = 81,842.04 : x
  2. Step 2: Convert to fraction form
    318,497.76/477,763.38 = 81,842.04/x
  3. Step 3: Cross multiply
    318,497.76x = 477,763.38 × 81,842.04
  4. Step 4: Simplify right side
    318,497.76x = 39,101,129,656.50
  5. Step 5: Solve for x
    x = 39,101,129,656.50/318,497.76
  6. Step 6: Final answer
    x = 122,767.36

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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.