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Finding the Fourth Proportional to 498,085.80, 747,128.70 and 198,612.60

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Solution

The fourth proportional to 498,085.80, 747,128.70 and 198,612.60 is: 297,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,085.80 : 747,128.70 = 198,612.60 : x
  2. Step 2: Convert to fraction form
    498,085.80/747,128.70 = 198,612.60/x
  3. Step 3: Cross multiply
    498,085.80x = 747,128.70 × 198,612.60
  4. Step 4: Simplify right side
    498,085.80x = 148,389,173,641.62
  5. Step 5: Solve for x
    x = 148,389,173,641.62/498,085.80
  6. Step 6: Final answer
    x = 297,918.90

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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.