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Finding the Fourth Proportional to 263,744.40, 363,966.86 and 142,888.76

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Solution

The fourth proportional to 263,744.40, 363,966.86 and 142,888.76 is: 197,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,744.40 : 363,966.86 = 142,888.76 : x
  2. Step 2: Convert to fraction form
    263,744.40/363,966.86 = 142,888.76/x
  3. Step 3: Cross multiply
    263,744.40x = 363,966.86 × 142,888.76
  4. Step 4: Simplify right side
    263,744.40x = 52,006,773,306.49
  5. Step 5: Solve for x
    x = 52,006,773,306.49/263,744.40
  6. Step 6: Final answer
    x = 197,186.27

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1.5x scale

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.