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Finding the Fourth Proportional to 451,211.40, 676,817.10 and 413,886.60

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Solution

The fourth proportional to 451,211.40, 676,817.10 and 413,886.60 is: 620,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,211.40 : 676,817.10 = 413,886.60 : x
  2. Step 2: Convert to fraction form
    451,211.40/676,817.10 = 413,886.60/x
  3. Step 3: Cross multiply
    451,211.40x = 676,817.10 × 413,886.60
  4. Step 4: Simplify right side
    451,211.40x = 280,125,528,340.86
  5. Step 5: Solve for x
    x = 280,125,528,340.86/451,211.40
  6. Step 6: Final answer
    x = 620,829.90

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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.