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Finding the Fourth Proportional to 462,628.13, 638,397.17 and 258,695.85

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Solution

The fourth proportional to 462,628.13, 638,397.17 and 258,695.85 is: 356,983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,628.13 : 638,397.17 = 258,695.85 : x
  2. Step 2: Convert to fraction form
    462,628.13/638,397.17 = 258,695.85/x
  3. Step 3: Cross multiply
    462,628.13x = 638,397.17 × 258,695.85
  4. Step 4: Simplify right side
    462,628.13x = 165,150,698,530.75
  5. Step 5: Solve for x
    x = 165,150,698,530.75/462,628.13
  6. Step 6: Final answer
    x = 356,983.69

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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.