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Finding the Fourth Proportional to 381,875.04, 572,974.56 and 204,336

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Solution

The fourth proportional to 381,875.04, 572,974.56 and 204,336 is: 306,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,875.04 : 572,974.56 = 204,336 : x
  2. Step 2: Convert to fraction form
    381,875.04/572,974.56 = 204,336/x
  3. Step 3: Cross multiply
    381,875.04x = 572,974.56 × 204,336
  4. Step 4: Simplify right side
    381,875.04x = 117,079,329,692.16
  5. Step 5: Solve for x
    x = 117,079,329,692.16/381,875.04
  6. Step 6: Final answer
    x = 306,590.68

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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.