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Finding the Fourth Proportional to 280,713.60, 421,237.17 and 103,345.20

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Solution

The fourth proportional to 280,713.60, 421,237.17 and 103,345.20 is: 155,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,713.60 : 421,237.17 = 103,345.20 : x
  2. Step 2: Convert to fraction form
    280,713.60/421,237.17 = 103,345.20/x
  3. Step 3: Cross multiply
    280,713.60x = 421,237.17 × 103,345.20
  4. Step 4: Simplify right side
    280,713.60x = 43,532,839,581.08
  5. Step 5: Solve for x
    x = 43,532,839,581.08/280,713.60
  6. Step 6: Final answer
    x = 155,079.20

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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.