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Finding the Fourth Proportional to 428,572.59, 642,948.80 and 162,327.21

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Solution

The fourth proportional to 428,572.59, 642,948.80 and 162,327.21 is: 243,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,572.59 : 642,948.80 = 162,327.21 : x
  2. Step 2: Convert to fraction form
    428,572.59/642,948.80 = 162,327.21/x
  3. Step 3: Cross multiply
    428,572.59x = 642,948.80 × 162,327.21
  4. Step 4: Simplify right side
    428,572.59x = 104,368,084,065.21
  5. Step 5: Solve for x
    x = 104,368,084,065.21/428,572.59
  6. Step 6: Final answer
    x = 243,524.87

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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.