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Finding the Fourth Proportional to 428,378.52, 591,165.66 and 237,395

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Solution

The fourth proportional to 428,378.52, 591,165.66 and 237,395 is: 327,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,378.52 : 591,165.66 = 237,395 : x
  2. Step 2: Convert to fraction form
    428,378.52/591,165.66 = 237,395/x
  3. Step 3: Cross multiply
    428,378.52x = 591,165.66 × 237,395
  4. Step 4: Simplify right side
    428,378.52x = 140,339,771,855.70
  5. Step 5: Solve for x
    x = 140,339,771,855.70/428,378.52
  6. Step 6: Final answer
    x = 327,606.93

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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.