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Finding the Fourth Proportional to 420,672.52, 631,048.46 and 326,008.74

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Solution

The fourth proportional to 420,672.52, 631,048.46 and 326,008.74 is: 489,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,672.52 : 631,048.46 = 326,008.74 : x
  2. Step 2: Convert to fraction form
    420,672.52/631,048.46 = 326,008.74/x
  3. Step 3: Cross multiply
    420,672.52x = 631,048.46 × 326,008.74
  4. Step 4: Simplify right side
    420,672.52x = 205,727,313,323.54
  5. Step 5: Solve for x
    x = 205,727,313,323.54/420,672.52
  6. Step 6: Final answer
    x = 489,043.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.