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Finding the Fourth Proportional to 398,411.80, 597,617.70 and 347,090.20

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Solution

The fourth proportional to 398,411.80, 597,617.70 and 347,090.20 is: 520,635.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,411.80 : 597,617.70 = 347,090.20 : x
  2. Step 2: Convert to fraction form
    398,411.80/597,617.70 = 347,090.20/x
  3. Step 3: Cross multiply
    398,411.80x = 597,617.70 × 347,090.20
  4. Step 4: Simplify right side
    398,411.80x = 207,427,247,016.54
  5. Step 5: Solve for x
    x = 207,427,247,016.54/398,411.80
  6. Step 6: Final answer
    x = 520,635.30

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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.