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Finding the Fourth Proportional to 398,832.20, 598,248.30 and 257,114.60

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Solution

The fourth proportional to 398,832.20, 598,248.30 and 257,114.60 is: 385,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,832.20 : 598,248.30 = 257,114.60 : x
  2. Step 2: Convert to fraction form
    398,832.20/598,248.30 = 257,114.60/x
  3. Step 3: Cross multiply
    398,832.20x = 598,248.30 × 257,114.60
  4. Step 4: Simplify right side
    398,832.20x = 153,818,372,355.18
  5. Step 5: Solve for x
    x = 153,818,372,355.18/398,832.20
  6. Step 6: Final answer
    x = 385,671.90

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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.