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Finding the Fourth Proportional to 682,310.52, 940,432.14 and 478,423.80

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Solution

The fourth proportional to 682,310.52, 940,432.14 and 478,423.80 is: 659,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,310.52 : 940,432.14 = 478,423.80 : x
  2. Step 2: Convert to fraction form
    682,310.52/940,432.14 = 478,423.80/x
  3. Step 3: Cross multiply
    682,310.52x = 940,432.14 × 478,423.80
  4. Step 4: Simplify right side
    682,310.52x = 449,925,118,060.93
  5. Step 5: Solve for x
    x = 449,925,118,060.93/682,310.52
  6. Step 6: Final answer
    x = 659,414.01

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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.