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Finding the Fourth Proportional to 428,672.71, 643,009.24 and 158,893.62

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Solution

The fourth proportional to 428,672.71, 643,009.24 and 158,893.62 is: 238,340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,672.71 : 643,009.24 = 158,893.62 : x
  2. Step 2: Convert to fraction form
    428,672.71/643,009.24 = 158,893.62/x
  3. Step 3: Cross multiply
    428,672.71x = 643,009.24 × 158,893.62
  4. Step 4: Simplify right side
    428,672.71x = 102,170,062,730.61
  5. Step 5: Solve for x
    x = 102,170,062,730.61/428,672.71
  6. Step 6: Final answer
    x = 238,340.49

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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.