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Finding the Fourth Proportional to 487,348.60, 731,022.90 and 206,829.40

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Solution

The fourth proportional to 487,348.60, 731,022.90 and 206,829.40 is: 310,244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,348.60 : 731,022.90 = 206,829.40 : x
  2. Step 2: Convert to fraction form
    487,348.60/731,022.90 = 206,829.40/x
  3. Step 3: Cross multiply
    487,348.60x = 731,022.90 × 206,829.40
  4. Step 4: Simplify right side
    487,348.60x = 151,197,027,793.26
  5. Step 5: Solve for x
    x = 151,197,027,793.26/487,348.60
  6. Step 6: Final answer
    x = 310,244.10

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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.