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Finding the Fourth Proportional to 280,898.75, 421,403.72 and 91,346.90

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Solution

The fourth proportional to 280,898.75, 421,403.72 and 91,346.90 is: 137,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,898.75 : 421,403.72 = 91,346.90 : x
  2. Step 2: Convert to fraction form
    280,898.75/421,403.72 = 91,346.90/x
  3. Step 3: Cross multiply
    280,898.75x = 421,403.72 × 91,346.90
  4. Step 4: Simplify right side
    280,898.75x = 38,493,923,470.47
  5. Step 5: Solve for x
    x = 38,493,923,470.47/280,898.75
  6. Step 6: Final answer
    x = 137,038.43

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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.