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Finding the Fourth Proportional to 442,003.92, 609,805.41 and 289,129.38

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Solution

The fourth proportional to 442,003.92, 609,805.41 and 289,129.38 is: 398,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,003.92 : 609,805.41 = 289,129.38 : x
  2. Step 2: Convert to fraction form
    442,003.92/609,805.41 = 289,129.38/x
  3. Step 3: Cross multiply
    442,003.92x = 609,805.41 × 289,129.38
  4. Step 4: Simplify right side
    442,003.92x = 176,312,660,113.95
  5. Step 5: Solve for x
    x = 176,312,660,113.95/442,003.92
  6. Step 6: Final answer
    x = 398,893.88

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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.