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Finding the Fourth Proportional to 288,136.80, 431,654.40 and 154,972.80

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Solution

The fourth proportional to 288,136.80, 431,654.40 and 154,972.80 is: 232,162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,136.80 : 431,654.40 = 154,972.80 : x
  2. Step 2: Convert to fraction form
    288,136.80/431,654.40 = 154,972.80/x
  3. Step 3: Cross multiply
    288,136.80x = 431,654.40 × 154,972.80
  4. Step 4: Simplify right side
    288,136.80x = 66,894,691,000.32
  5. Step 5: Solve for x
    x = 66,894,691,000.32/288,136.80
  6. Step 6: Final answer
    x = 232,162.96

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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.