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Finding the Fourth Proportional to 462,788.28, 638,649.23 and 258,842.66

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Solution

The fourth proportional to 462,788.28, 638,649.23 and 258,842.66 is: 357,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,788.28 : 638,649.23 = 258,842.66 : x
  2. Step 2: Convert to fraction form
    462,788.28/638,649.23 = 258,842.66/x
  3. Step 3: Cross multiply
    462,788.28x = 638,649.23 × 258,842.66
  4. Step 4: Simplify right side
    462,788.28x = 165,309,661,012.69
  5. Step 5: Solve for x
    x = 165,309,661,012.69/462,788.28
  6. Step 6: Final answer
    x = 357,203.65

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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.