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Finding the Fourth Proportional to 398,546.20, 598,740.90 and 274,130.20

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Solution

The fourth proportional to 398,546.20, 598,740.90 and 274,130.20 is: 411,829.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,546.20 : 598,740.90 = 274,130.20 : x
  2. Step 2: Convert to fraction form
    398,546.20/598,740.90 = 274,130.20/x
  3. Step 3: Cross multiply
    398,546.20x = 598,740.90 × 274,130.20
  4. Step 4: Simplify right side
    398,546.20x = 164,132,962,665.18
  5. Step 5: Solve for x
    x = 164,132,962,665.18/398,546.20
  6. Step 6: Final answer
    x = 411,829.20

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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.