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Finding the Fourth Proportional to 431,096.80, 646,645.20 and 263,135.20

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Solution

The fourth proportional to 431,096.80, 646,645.20 and 263,135.20 is: 394,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,096.80 : 646,645.20 = 263,135.20 : x
  2. Step 2: Convert to fraction form
    431,096.80/646,645.20 = 263,135.20/x
  3. Step 3: Cross multiply
    431,096.80x = 646,645.20 × 263,135.20
  4. Step 4: Simplify right side
    431,096.80x = 170,155,114,031.04
  5. Step 5: Solve for x
    x = 170,155,114,031.04/431,096.80
  6. Step 6: Final answer
    x = 394,702.80

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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.