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Finding the Fourth Proportional to 432,854.60, 649,281.90 and 327,878.60

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Solution

The fourth proportional to 432,854.60, 649,281.90 and 327,878.60 is: 491,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,854.60 : 649,281.90 = 327,878.60 : x
  2. Step 2: Convert to fraction form
    432,854.60/649,281.90 = 327,878.60/x
  3. Step 3: Cross multiply
    432,854.60x = 649,281.90 × 327,878.60
  4. Step 4: Simplify right side
    432,854.60x = 212,885,640,377.34
  5. Step 5: Solve for x
    x = 212,885,640,377.34/432,854.60
  6. Step 6: Final answer
    x = 491,817.90

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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.