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Finding the Fourth Proportional to 312,499.74, 468,122.67 and 143,785.02

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Solution

The fourth proportional to 312,499.74, 468,122.67 and 143,785.02 is: 215,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,499.74 : 468,122.67 = 143,785.02 : x
  2. Step 2: Convert to fraction form
    312,499.74/468,122.67 = 143,785.02/x
  3. Step 3: Cross multiply
    312,499.74x = 468,122.67 × 143,785.02
  4. Step 4: Simplify right side
    312,499.74x = 67,309,027,468.40
  5. Step 5: Solve for x
    x = 67,309,027,468.40/312,499.74
  6. Step 6: Final answer
    x = 215,389.07

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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.