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Finding the Fourth Proportional to 253,459.92, 349,785.72 and 140,282.64

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Solution

The fourth proportional to 253,459.92, 349,785.72 and 140,282.64 is: 193,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,459.92 : 349,785.72 = 140,282.64 : x
  2. Step 2: Convert to fraction form
    253,459.92/349,785.72 = 140,282.64/x
  3. Step 3: Cross multiply
    253,459.92x = 349,785.72 × 140,282.64
  4. Step 4: Simplify right side
    253,459.92x = 49,068,864,235.90
  5. Step 5: Solve for x
    x = 49,068,864,235.90/253,459.92
  6. Step 6: Final answer
    x = 193,596.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.