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Finding the Fourth Proportional to 642,470.80, 886,608.84 and 356,009.44

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Solution

The fourth proportional to 642,470.80, 886,608.84 and 356,009.44 is: 491,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,470.80 : 886,608.84 = 356,009.44 : x
  2. Step 2: Convert to fraction form
    642,470.80/886,608.84 = 356,009.44/x
  3. Step 3: Cross multiply
    642,470.80x = 886,608.84 × 356,009.44
  4. Step 4: Simplify right side
    642,470.80x = 315,641,116,627.45
  5. Step 5: Solve for x
    x = 315,641,116,627.45/642,470.80
  6. Step 6: Final answer
    x = 491,292.55

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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.