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Finding the Fourth Proportional to 381,677.80, 572,516.70 and 361,994.80

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Solution

The fourth proportional to 381,677.80, 572,516.70 and 361,994.80 is: 542,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,677.80 : 572,516.70 = 361,994.80 : x
  2. Step 2: Convert to fraction form
    381,677.80/572,516.70 = 361,994.80/x
  3. Step 3: Cross multiply
    381,677.80x = 572,516.70 × 361,994.80
  4. Step 4: Simplify right side
    381,677.80x = 207,248,068,313.16
  5. Step 5: Solve for x
    x = 207,248,068,313.16/381,677.80
  6. Step 6: Final answer
    x = 542,992.20

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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.