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Finding the Fourth Proportional to 465,287.16, 642,092.30 and 261,341.22

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Solution

The fourth proportional to 465,287.16, 642,092.30 and 261,341.22 is: 360,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,287.16 : 642,092.30 = 261,341.22 : x
  2. Step 2: Convert to fraction form
    465,287.16/642,092.30 = 261,341.22/x
  3. Step 3: Cross multiply
    465,287.16x = 642,092.30 × 261,341.22
  4. Step 4: Simplify right side
    465,287.16x = 167,805,185,034.61
  5. Step 5: Solve for x
    x = 167,805,185,034.61/465,287.16
  6. Step 6: Final answer
    x = 360,648.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.