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Finding the Fourth Proportional to 428,246.31, 590,999.28 and 237,259.70

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Solution

The fourth proportional to 428,246.31, 590,999.28 and 237,259.70 is: 327,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,246.31 : 590,999.28 = 237,259.70 : x
  2. Step 2: Convert to fraction form
    428,246.31/590,999.28 = 237,259.70/x
  3. Step 3: Cross multiply
    428,246.31x = 590,999.28 × 237,259.70
  4. Step 4: Simplify right side
    428,246.31x = 140,220,311,873.02
  5. Step 5: Solve for x
    x = 140,220,311,873.02/428,246.31
  6. Step 6: Final answer
    x = 327,429.12

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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.