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Finding the Fourth Proportional to 280,509.48, 420,764.22 and 70,147.42

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Solution

The fourth proportional to 280,509.48, 420,764.22 and 70,147.42 is: 105,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,509.48 : 420,764.22 = 70,147.42 : x
  2. Step 2: Convert to fraction form
    280,509.48/420,764.22 = 70,147.42/x
  3. Step 3: Cross multiply
    280,509.48x = 420,764.22 × 70,147.42
  4. Step 4: Simplify right side
    280,509.48x = 29,515,522,006.75
  5. Step 5: Solve for x
    x = 29,515,522,006.75/280,509.48
  6. Step 6: Final answer
    x = 105,221.12

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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.