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Finding the Fourth Proportional to 270,961.92, 406,455.78 and 130,838.40

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Solution

The fourth proportional to 270,961.92, 406,455.78 and 130,838.40 is: 196,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,961.92 : 406,455.78 = 130,838.40 : x
  2. Step 2: Convert to fraction form
    270,961.92/406,455.78 = 130,838.40/x
  3. Step 3: Cross multiply
    270,961.92x = 406,455.78 × 130,838.40
  4. Step 4: Simplify right side
    270,961.92x = 53,180,023,925.95
  5. Step 5: Solve for x
    x = 53,180,023,925.95/270,961.92
  6. Step 6: Final answer
    x = 196,263.83

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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.