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Finding the Fourth Proportional to 398,428.80, 597,254.40 and 356,438.40

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Solution

The fourth proportional to 398,428.80, 597,254.40 and 356,438.40 is: 534,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,428.80 : 597,254.40 = 356,438.40 : x
  2. Step 2: Convert to fraction form
    398,428.80/597,254.40 = 356,438.40/x
  3. Step 3: Cross multiply
    398,428.80x = 597,254.40 × 356,438.40
  4. Step 4: Simplify right side
    398,428.80x = 212,884,402,728.96
  5. Step 5: Solve for x
    x = 212,884,402,728.96/398,428.80
  6. Step 6: Final answer
    x = 534,309.78

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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.