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Finding the Fourth Proportional to 280,896, 421,399.59 and 91,344.15

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Solution

The fourth proportional to 280,896, 421,399.59 and 91,344.15 is: 137,034.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,896 : 421,399.59 = 91,344.15 : x
  2. Step 2: Convert to fraction form
    280,896/421,399.59 = 91,344.15/x
  3. Step 3: Cross multiply
    280,896x = 421,399.59 × 91,344.15
  4. Step 4: Simplify right side
    280,896x = 38,492,387,358.90
  5. Step 5: Solve for x
    x = 38,492,387,358.90/280,896
  6. Step 6: Final answer
    x = 137,034.30

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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.