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Finding the Fourth Proportional to 280,668.64, 420,997.04 and 91,128.80

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Solution

The fourth proportional to 280,668.64, 420,997.04 and 91,128.80 is: 136,691.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,668.64 : 420,997.04 = 91,128.80 : x
  2. Step 2: Convert to fraction form
    280,668.64/420,997.04 = 91,128.80/x
  3. Step 3: Cross multiply
    280,668.64x = 420,997.04 × 91,128.80
  4. Step 4: Simplify right side
    280,668.64x = 38,364,955,058.75
  5. Step 5: Solve for x
    x = 38,364,955,058.75/280,668.64
  6. Step 6: Final answer
    x = 136,691.28

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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.