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Finding the Fourth Proportional to 398,290.40, 597,420.48 and 161,569.52

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Solution

The fourth proportional to 398,290.40, 597,420.48 and 161,569.52 is: 242,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,290.40 : 597,420.48 = 161,569.52 : x
  2. Step 2: Convert to fraction form
    398,290.40/597,420.48 = 161,569.52/x
  3. Step 3: Cross multiply
    398,290.40x = 597,420.48 × 161,569.52
  4. Step 4: Simplify right side
    398,290.40x = 96,524,940,191.77
  5. Step 5: Solve for x
    x = 96,524,940,191.77/398,290.40
  6. Step 6: Final answer
    x = 242,348.15

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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.