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Finding the Fourth Proportional to 428,532.30, 642,842.19 and 148,013.10

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Solution

The fourth proportional to 428,532.30, 642,842.19 and 148,013.10 is: 222,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,532.30 : 642,842.19 = 148,013.10 : x
  2. Step 2: Convert to fraction form
    428,532.30/642,842.19 = 148,013.10/x
  3. Step 3: Cross multiply
    428,532.30x = 642,842.19 × 148,013.10
  4. Step 4: Simplify right side
    428,532.30x = 95,149,065,352.69
  5. Step 5: Solve for x
    x = 95,149,065,352.69/428,532.30
  6. Step 6: Final answer
    x = 222,034.76

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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.