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Finding the Fourth Proportional to 428,467.76, 591,262.02 and 237,469.76

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Solution

The fourth proportional to 428,467.76, 591,262.02 and 237,469.76 is: 327,695.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,467.76 : 591,262.02 = 237,469.76 : x
  2. Step 2: Convert to fraction form
    428,467.76/591,262.02 = 237,469.76/x
  3. Step 3: Cross multiply
    428,467.76x = 591,262.02 × 237,469.76
  4. Step 4: Simplify right side
    428,467.76x = 140,406,849,986.52
  5. Step 5: Solve for x
    x = 140,406,849,986.52/428,467.76
  6. Step 6: Final answer
    x = 327,695.25

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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.