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Finding the Fourth Proportional to 312,306.30, 468,389.25 and 143,664.71

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Solution

The fourth proportional to 312,306.30, 468,389.25 and 143,664.71 is: 215,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306.30 : 468,389.25 = 143,664.71 : x
  2. Step 2: Convert to fraction form
    312,306.30/468,389.25 = 143,664.71/x
  3. Step 3: Cross multiply
    312,306.30x = 468,389.25 × 143,664.71
  4. Step 4: Simplify right side
    312,306.30x = 67,291,003,426.42
  5. Step 5: Solve for x
    x = 67,291,003,426.42/312,306.30
  6. Step 6: Final answer
    x = 215,464.76

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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.