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Finding the Fourth Proportional to 397,207.20, 595,810.80 and 394,442.40

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Solution

The fourth proportional to 397,207.20, 595,810.80 and 394,442.40 is: 591,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,207.20 : 595,810.80 = 394,442.40 : x
  2. Step 2: Convert to fraction form
    397,207.20/595,810.80 = 394,442.40/x
  3. Step 3: Cross multiply
    397,207.20x = 595,810.80 × 394,442.40
  4. Step 4: Simplify right side
    397,207.20x = 235,013,041,897.92
  5. Step 5: Solve for x
    x = 235,013,041,897.92/397,207.20
  6. Step 6: Final answer
    x = 591,663.60

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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.