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Finding the Fourth Proportional to 305,863.02, 458,276.85 and 187,286.76

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Solution

The fourth proportional to 305,863.02, 458,276.85 and 187,286.76 is: 280,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,863.02 : 458,276.85 = 187,286.76 : x
  2. Step 2: Convert to fraction form
    305,863.02/458,276.85 = 187,286.76/x
  3. Step 3: Cross multiply
    305,863.02x = 458,276.85 × 187,286.76
  4. Step 4: Simplify right side
    305,863.02x = 85,829,186,419.51
  5. Step 5: Solve for x
    x = 85,829,186,419.51/305,863.02
  6. Step 6: Final answer
    x = 280,613.15

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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.