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Finding the Fourth Proportional to 287,809.20, 431,713.80 and 263,314.80

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Solution

The fourth proportional to 287,809.20, 431,713.80 and 263,314.80 is: 394,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,809.20 : 431,713.80 = 263,314.80 : x
  2. Step 2: Convert to fraction form
    287,809.20/431,713.80 = 263,314.80/x
  3. Step 3: Cross multiply
    287,809.20x = 431,713.80 × 263,314.80
  4. Step 4: Simplify right side
    287,809.20x = 113,676,632,904.24
  5. Step 5: Solve for x
    x = 113,676,632,904.24/287,809.20
  6. Step 6: Final answer
    x = 394,972.20

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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.