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Finding the Fourth Proportional to 289,242.14, 434,143.07 and 139,587.78

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Solution

The fourth proportional to 289,242.14, 434,143.07 and 139,587.78 is: 209,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,242.14 : 434,143.07 = 139,587.78 : x
  2. Step 2: Convert to fraction form
    289,242.14/434,143.07 = 139,587.78/x
  3. Step 3: Cross multiply
    289,242.14x = 434,143.07 × 139,587.78
  4. Step 4: Simplify right side
    289,242.14x = 60,601,067,343.68
  5. Step 5: Solve for x
    x = 60,601,067,343.68/289,242.14
  6. Step 6: Final answer
    x = 209,516.73

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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.