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Finding the Fourth Proportional to 428,878.68, 591,853.16 and 237,892.06

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Solution

The fourth proportional to 428,878.68, 591,853.16 and 237,892.06 is: 328,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,878.68 : 591,853.16 = 237,892.06 : x
  2. Step 2: Convert to fraction form
    428,878.68/591,853.16 = 237,892.06/x
  3. Step 3: Cross multiply
    428,878.68x = 591,853.16 × 237,892.06
  4. Step 4: Simplify right side
    428,878.68x = 140,797,167,449.91
  5. Step 5: Solve for x
    x = 140,797,167,449.91/428,878.68
  6. Step 6: Final answer
    x = 328,291.37

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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.