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Finding the Fourth Proportional to 308,876.58, 463,614.46 and 149,065

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Solution

The fourth proportional to 308,876.58, 463,614.46 and 149,065 is: 223,742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,876.58 : 463,614.46 = 149,065 : x
  2. Step 2: Convert to fraction form
    308,876.58/463,614.46 = 149,065/x
  3. Step 3: Cross multiply
    308,876.58x = 463,614.46 × 149,065
  4. Step 4: Simplify right side
    308,876.58x = 69,108,689,479.90
  5. Step 5: Solve for x
    x = 69,108,689,479.90/308,876.58
  6. Step 6: Final answer
    x = 223,742.08

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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.