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Finding the Fourth Proportional to 397,468.80, 596,203.20 and 131,270.40

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Solution

The fourth proportional to 397,468.80, 596,203.20 and 131,270.40 is: 196,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,468.80 : 596,203.20 = 131,270.40 : x
  2. Step 2: Convert to fraction form
    397,468.80/596,203.20 = 131,270.40/x
  3. Step 3: Cross multiply
    397,468.80x = 596,203.20 × 131,270.40
  4. Step 4: Simplify right side
    397,468.80x = 78,263,832,545.28
  5. Step 5: Solve for x
    x = 78,263,832,545.28/397,468.80
  6. Step 6: Final answer
    x = 196,905.60

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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.