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Finding the Fourth Proportional to 461,348.82, 691,462.08 and 326,451.78

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Solution

The fourth proportional to 461,348.82, 691,462.08 and 326,451.78 is: 489,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,348.82 : 691,462.08 = 326,451.78 : x
  2. Step 2: Convert to fraction form
    461,348.82/691,462.08 = 326,451.78/x
  3. Step 3: Cross multiply
    461,348.82x = 691,462.08 × 326,451.78
  4. Step 4: Simplify right side
    461,348.82x = 225,729,026,818.50
  5. Step 5: Solve for x
    x = 225,729,026,818.50/461,348.82
  6. Step 6: Final answer
    x = 489,280.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.