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Finding the Fourth Proportional to 411,672.32, 617,496.96 and 131,206.40

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Solution

The fourth proportional to 411,672.32, 617,496.96 and 131,206.40 is: 196,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,672.32 : 617,496.96 = 131,206.40 : x
  2. Step 2: Convert to fraction form
    411,672.32/617,496.96 = 131,206.40/x
  3. Step 3: Cross multiply
    411,672.32x = 617,496.96 × 131,206.40
  4. Step 4: Simplify right side
    411,672.32x = 81,019,553,132.54
  5. Step 5: Solve for x
    x = 81,019,553,132.54/411,672.32
  6. Step 6: Final answer
    x = 196,805.93

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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.