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Finding the Fourth Proportional to 343,091.60, 514,657.56 and 132,730.64

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Solution

The fourth proportional to 343,091.60, 514,657.56 and 132,730.64 is: 199,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,091.60 : 514,657.56 = 132,730.64 : x
  2. Step 2: Convert to fraction form
    343,091.60/514,657.56 = 132,730.64/x
  3. Step 3: Cross multiply
    343,091.60x = 514,657.56 × 132,730.64
  4. Step 4: Simplify right side
    343,091.60x = 68,310,827,319.64
  5. Step 5: Solve for x
    x = 68,310,827,319.64/343,091.60
  6. Step 6: Final answer
    x = 199,103.76

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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.