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Finding the Fourth Proportional to 280,187.47, 420,404.25 and 147,036.61

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Solution

The fourth proportional to 280,187.47, 420,404.25 and 147,036.61 is: 220,619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,187.47 : 420,404.25 = 147,036.61 : x
  2. Step 2: Convert to fraction form
    280,187.47/420,404.25 = 147,036.61/x
  3. Step 3: Cross multiply
    280,187.47x = 420,404.25 × 147,036.61
  4. Step 4: Simplify right side
    280,187.47x = 61,814,813,647.57
  5. Step 5: Solve for x
    x = 61,814,813,647.57/280,187.47
  6. Step 6: Final answer
    x = 220,619.48

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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.