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Finding the Fourth Proportional to 610,414.38, 842,381.98 and 338,493.74

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Solution

The fourth proportional to 610,414.38, 842,381.98 and 338,493.74 is: 467,126.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,414.38 : 842,381.98 = 338,493.74 : x
  2. Step 2: Convert to fraction form
    610,414.38/842,381.98 = 338,493.74/x
  3. Step 3: Cross multiply
    610,414.38x = 842,381.98 × 338,493.74
  4. Step 4: Simplify right side
    610,414.38x = 285,141,021,860.66
  5. Step 5: Solve for x
    x = 285,141,021,860.66/610,414.38
  6. Step 6: Final answer
    x = 467,126.97

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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.