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Finding the Fourth Proportional to 263,244.80, 394,780.80 and 97,011.20

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Solution

The fourth proportional to 263,244.80, 394,780.80 and 97,011.20 is: 145,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,244.80 : 394,780.80 = 97,011.20 : x
  2. Step 2: Convert to fraction form
    263,244.80/394,780.80 = 97,011.20/x
  3. Step 3: Cross multiply
    263,244.80x = 394,780.80 × 97,011.20
  4. Step 4: Simplify right side
    263,244.80x = 38,298,159,144.96
  5. Step 5: Solve for x
    x = 38,298,159,144.96/263,244.80
  6. Step 6: Final answer
    x = 145,484.96

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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.