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Finding the Fourth Proportional to 428,810.56, 591,749.76 and 237,793.12

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Solution

The fourth proportional to 428,810.56, 591,749.76 and 237,793.12 is: 328,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,810.56 : 591,749.76 = 237,793.12 : x
  2. Step 2: Convert to fraction form
    428,810.56/591,749.76 = 237,793.12/x
  3. Step 3: Cross multiply
    428,810.56x = 591,749.76 × 237,793.12
  4. Step 4: Simplify right side
    428,810.56x = 140,714,021,689.65
  5. Step 5: Solve for x
    x = 140,714,021,689.65/428,810.56
  6. Step 6: Final answer
    x = 328,149.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.