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Finding the Fourth Proportional to 288,011, 431,972.68 and 110,601.56

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Solution

The fourth proportional to 288,011, 431,972.68 and 110,601.56 is: 165,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,011 : 431,972.68 = 110,601.56 : x
  2. Step 2: Convert to fraction form
    288,011/431,972.68 = 110,601.56/x
  3. Step 3: Cross multiply
    288,011x = 431,972.68 × 110,601.56
  4. Step 4: Simplify right side
    288,011x = 47,776,852,285.38
  5. Step 5: Solve for x
    x = 47,776,852,285.38/288,011
  6. Step 6: Final answer
    x = 165,885.51

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1.5x scale

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.