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Finding the Fourth Proportional to 428,856.60, 643,284.90 and 148,344.60

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Solution

The fourth proportional to 428,856.60, 643,284.90 and 148,344.60 is: 222,516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,856.60 : 643,284.90 = 148,344.60 : x
  2. Step 2: Convert to fraction form
    428,856.60/643,284.90 = 148,344.60/x
  3. Step 3: Cross multiply
    428,856.60x = 643,284.90 × 148,344.60
  4. Step 4: Simplify right side
    428,856.60x = 95,427,841,176.54
  5. Step 5: Solve for x
    x = 95,427,841,176.54/428,856.60
  6. Step 6: Final answer
    x = 222,516.90

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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.