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Finding the Fourth Proportional to 268,145.67, 402,387.93 and 149,894.58

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Solution

The fourth proportional to 268,145.67, 402,387.93 and 149,894.58 is: 224,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,145.67 : 402,387.93 = 149,894.58 : x
  2. Step 2: Convert to fraction form
    268,145.67/402,387.93 = 149,894.58/x
  3. Step 3: Cross multiply
    268,145.67x = 402,387.93 × 149,894.58
  4. Step 4: Simplify right side
    268,145.67x = 60,315,769,764.42
  5. Step 5: Solve for x
    x = 60,315,769,764.42/268,145.67
  6. Step 6: Final answer
    x = 224,936.58

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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.