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Finding the Fourth Proportional to 635,793.60, 952,912.80 and 280,430.40

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Solution

The fourth proportional to 635,793.60, 952,912.80 and 280,430.40 is: 420,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,793.60 : 952,912.80 = 280,430.40 : x
  2. Step 2: Convert to fraction form
    635,793.60/952,912.80 = 280,430.40/x
  3. Step 3: Cross multiply
    635,793.60x = 952,912.80 × 280,430.40
  4. Step 4: Simplify right side
    635,793.60x = 267,225,717,669.12
  5. Step 5: Solve for x
    x = 267,225,717,669.12/635,793.60
  6. Step 6: Final answer
    x = 420,302.62

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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.