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Finding the Fourth Proportional to 428,387.65, 591,443.74 and 275,691.19

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Solution

The fourth proportional to 428,387.65, 591,443.74 and 275,691.19 is: 380,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,387.65 : 591,443.74 = 275,691.19 : x
  2. Step 2: Convert to fraction form
    428,387.65/591,443.74 = 275,691.19/x
  3. Step 3: Cross multiply
    428,387.65x = 591,443.74 × 275,691.19
  4. Step 4: Simplify right side
    428,387.65x = 163,055,828,498.65
  5. Step 5: Solve for x
    x = 163,055,828,498.65/428,387.65
  6. Step 6: Final answer
    x = 380,626.82

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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.