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Finding the Fourth Proportional to 379,600.08, 523,827.60 and 209,824.08

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Solution

The fourth proportional to 379,600.08, 523,827.60 and 209,824.08 is: 289,545.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,600.08 : 523,827.60 = 209,824.08 : x
  2. Step 2: Convert to fraction form
    379,600.08/523,827.60 = 209,824.08/x
  3. Step 3: Cross multiply
    379,600.08x = 523,827.60 × 209,824.08
  4. Step 4: Simplify right side
    379,600.08x = 109,911,644,248.61
  5. Step 5: Solve for x
    x = 109,911,644,248.61/379,600.08
  6. Step 6: Final answer
    x = 289,545.89

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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.