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Finding the Fourth Proportional to 381,451.60, 572,554.04 and 286,351.12

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Solution

The fourth proportional to 381,451.60, 572,554.04 and 286,351.12 is: 429,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,451.60 : 572,554.04 = 286,351.12 : x
  2. Step 2: Convert to fraction form
    381,451.60/572,554.04 = 286,351.12/x
  3. Step 3: Cross multiply
    381,451.60x = 572,554.04 × 286,351.12
  4. Step 4: Simplify right side
    381,451.60x = 163,951,490,614.53
  5. Step 5: Solve for x
    x = 163,951,490,614.53/381,451.60
  6. Step 6: Final answer
    x = 429,809.42

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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.