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Finding the Fourth Proportional to 312,825.31, 469,378.15 and 144,255.27

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Solution

The fourth proportional to 312,825.31, 469,378.15 and 144,255.27 is: 216,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,825.31 : 469,378.15 = 144,255.27 : x
  2. Step 2: Convert to fraction form
    312,825.31/469,378.15 = 144,255.27/x
  3. Step 3: Cross multiply
    312,825.31x = 469,378.15 × 144,255.27
  4. Step 4: Simplify right side
    312,825.31x = 67,710,273,159.88
  5. Step 5: Solve for x
    x = 67,710,273,159.88/312,825.31
  6. Step 6: Final answer
    x = 216,447.56

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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.