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Finding the Fourth Proportional to 328,211.40, 491,332.95 and 195,023.10

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Solution

The fourth proportional to 328,211.40, 491,332.95 and 195,023.10 is: 291,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,211.40 : 491,332.95 = 195,023.10 : x
  2. Step 2: Convert to fraction form
    328,211.40/491,332.95 = 195,023.10/x
  3. Step 3: Cross multiply
    328,211.40x = 491,332.95 × 195,023.10
  4. Step 4: Simplify right side
    328,211.40x = 95,821,275,041.15
  5. Step 5: Solve for x
    x = 95,821,275,041.15/328,211.40
  6. Step 6: Final answer
    x = 291,949.87

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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.