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Finding the Fourth Proportional to 428,757.76, 643,163.51 and 144,424.95

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Solution

The fourth proportional to 428,757.76, 643,163.51 and 144,424.95 is: 216,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,757.76 : 643,163.51 = 144,424.95 : x
  2. Step 2: Convert to fraction form
    428,757.76/643,163.51 = 144,424.95/x
  3. Step 3: Cross multiply
    428,757.76x = 643,163.51 × 144,424.95
  4. Step 4: Simplify right side
    428,757.76x = 92,888,853,835.63
  5. Step 5: Solve for x
    x = 92,888,853,835.63/428,757.76
  6. Step 6: Final answer
    x = 216,646.47

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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.