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Finding the Fourth Proportional to 428,447.52, 642,225.51 and 143,926.92

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Solution

The fourth proportional to 428,447.52, 642,225.51 and 143,926.92 is: 215,740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,447.52 : 642,225.51 = 143,926.92 : x
  2. Step 2: Convert to fraction form
    428,447.52/642,225.51 = 143,926.92/x
  3. Step 3: Cross multiply
    428,447.52x = 642,225.51 × 143,926.92
  4. Step 4: Simplify right side
    428,447.52x = 92,433,539,599.73
  5. Step 5: Solve for x
    x = 92,433,539,599.73/428,447.52
  6. Step 6: Final answer
    x = 215,740.63

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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.