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Finding the Fourth Proportional to 327,545.48, 491,312.72 and 147,530.78

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Solution

The fourth proportional to 327,545.48, 491,312.72 and 147,530.78 is: 221,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,545.48 : 491,312.72 = 147,530.78 : x
  2. Step 2: Convert to fraction form
    327,545.48/491,312.72 = 147,530.78/x
  3. Step 3: Cross multiply
    327,545.48x = 491,312.72 × 147,530.78
  4. Step 4: Simplify right side
    327,545.48x = 72,483,745,611.30
  5. Step 5: Solve for x
    x = 72,483,745,611.30/327,545.48
  6. Step 6: Final answer
    x = 221,293.69

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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.