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Finding the Fourth Proportional to 288,153.42, 431,934.53 and 110,612.62

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Solution

The fourth proportional to 288,153.42, 431,934.53 and 110,612.62 is: 165,805.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,153.42 : 431,934.53 = 110,612.62 : x
  2. Step 2: Convert to fraction form
    288,153.42/431,934.53 = 110,612.62/x
  3. Step 3: Cross multiply
    288,153.42x = 431,934.53 × 110,612.62
  4. Step 4: Simplify right side
    288,153.42x = 47,777,410,031.77
  5. Step 5: Solve for x
    x = 47,777,410,031.77/288,153.42
  6. Step 6: Final answer
    x = 165,805.46

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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.