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Finding the Fourth Proportional to 284,292.90, 426,437.63 and 71,059.75

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Solution

The fourth proportional to 284,292.90, 426,437.63 and 71,059.75 is: 106,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,292.90 : 426,437.63 = 71,059.75 : x
  2. Step 2: Convert to fraction form
    284,292.90/426,437.63 = 71,059.75/x
  3. Step 3: Cross multiply
    284,292.90x = 426,437.63 × 71,059.75
  4. Step 4: Simplify right side
    284,292.90x = 30,302,550,489.95
  5. Step 5: Solve for x
    x = 30,302,550,489.95/284,292.90
  6. Step 6: Final answer
    x = 106,589.19

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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.