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Finding the Fourth Proportional to 312,715.50, 431,593.71 and 198,004.81

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Solution

The fourth proportional to 312,715.50, 431,593.71 and 198,004.81 is: 273,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,715.50 : 431,593.71 = 198,004.81 : x
  2. Step 2: Convert to fraction form
    312,715.50/431,593.71 = 198,004.81/x
  3. Step 3: Cross multiply
    312,715.50x = 431,593.71 × 198,004.81
  4. Step 4: Simplify right side
    312,715.50x = 85,457,630,545.75
  5. Step 5: Solve for x
    x = 85,457,630,545.75/312,715.50
  6. Step 6: Final answer
    x = 273,275.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.