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Finding the Fourth Proportional to 280,507.47, 420,764.93 and 93,519.03

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Solution

The fourth proportional to 280,507.47, 420,764.93 and 93,519.03 is: 140,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,507.47 : 420,764.93 = 93,519.03 : x
  2. Step 2: Convert to fraction form
    280,507.47/420,764.93 = 93,519.03/x
  3. Step 3: Cross multiply
    280,507.47x = 420,764.93 × 93,519.03
  4. Step 4: Simplify right side
    280,507.47x = 39,349,527,644.02
  5. Step 5: Solve for x
    x = 39,349,527,644.02/280,507.47
  6. Step 6: Final answer
    x = 140,279.79

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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.