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Finding the Fourth Proportional to 378,423.06, 522,217.14 and 206,342.40

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Solution

The fourth proportional to 378,423.06, 522,217.14 and 206,342.40 is: 284,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.06 : 522,217.14 = 206,342.40 : x
  2. Step 2: Convert to fraction form
    378,423.06/522,217.14 = 206,342.40/x
  3. Step 3: Cross multiply
    378,423.06x = 522,217.14 × 206,342.40
  4. Step 4: Simplify right side
    378,423.06x = 107,755,537,988.74
  5. Step 5: Solve for x
    x = 107,755,537,988.74/378,423.06
  6. Step 6: Final answer
    x = 284,748.87

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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.