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Finding the Fourth Proportional to 428,114.25, 590,797.71 and 237,139.92

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Solution

The fourth proportional to 428,114.25, 590,797.71 and 237,139.92 is: 327,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,114.25 : 590,797.71 = 237,139.92 : x
  2. Step 2: Convert to fraction form
    428,114.25/590,797.71 = 237,139.92/x
  3. Step 3: Cross multiply
    428,114.25x = 590,797.71 × 237,139.92
  4. Step 4: Simplify right side
    428,114.25x = 140,101,721,685.58
  5. Step 5: Solve for x
    x = 140,101,721,685.58/428,114.25
  6. Step 6: Final answer
    x = 327,253.11

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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.