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Finding the Fourth Proportional to 509,642, 764,432.76 and 154,658.96

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Solution

The fourth proportional to 509,642, 764,432.76 and 154,658.96 is: 231,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,642 : 764,432.76 = 154,658.96 : x
  2. Step 2: Convert to fraction form
    509,642/764,432.76 = 154,658.96/x
  3. Step 3: Cross multiply
    509,642x = 764,432.76 × 154,658.96
  4. Step 4: Simplify right side
    509,642x = 118,226,375,651.53
  5. Step 5: Solve for x
    x = 118,226,375,651.53/509,642
  6. Step 6: Final answer
    x = 231,979.26

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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.