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Finding the Fourth Proportional to 187,286.40, 280,929.60 and 185,536.80

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Solution

The fourth proportional to 187,286.40, 280,929.60 and 185,536.80 is: 278,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,286.40 : 280,929.60 = 185,536.80 : x
  2. Step 2: Convert to fraction form
    187,286.40/280,929.60 = 185,536.80/x
  3. Step 3: Cross multiply
    187,286.40x = 280,929.60 × 185,536.80
  4. Step 4: Simplify right side
    187,286.40x = 52,122,779,009.28
  5. Step 5: Solve for x
    x = 52,122,779,009.28/187,286.40
  6. Step 6: Final answer
    x = 278,305.20

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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.