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Finding the Fourth Proportional to 275,489.60, 413,234.40 and 191,071.40

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Solution

The fourth proportional to 275,489.60, 413,234.40 and 191,071.40 is: 286,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,489.60 : 413,234.40 = 191,071.40 : x
  2. Step 2: Convert to fraction form
    275,489.60/413,234.40 = 191,071.40/x
  3. Step 3: Cross multiply
    275,489.60x = 413,234.40 × 191,071.40
  4. Step 4: Simplify right side
    275,489.60x = 78,957,275,336.16
  5. Step 5: Solve for x
    x = 78,957,275,336.16/275,489.60
  6. Step 6: Final answer
    x = 286,607.10

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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.