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Finding the Fourth Proportional to 284,279.90, 391,838.85 and 201,521.66

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Solution

The fourth proportional to 284,279.90, 391,838.85 and 201,521.66 is: 277,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,279.90 : 391,838.85 = 201,521.66 : x
  2. Step 2: Convert to fraction form
    284,279.90/391,838.85 = 201,521.66/x
  3. Step 3: Cross multiply
    284,279.90x = 391,838.85 × 201,521.66
  4. Step 4: Simplify right side
    284,279.90x = 78,964,013,545.30
  5. Step 5: Solve for x
    x = 78,964,013,545.30/284,279.90
  6. Step 6: Final answer
    x = 277,768.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.