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Finding the Fourth Proportional to 312,764.84, 468,784.36 and 143,930.72

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Solution

The fourth proportional to 312,764.84, 468,784.36 and 143,930.72 is: 215,729.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,764.84 : 468,784.36 = 143,930.72 : x
  2. Step 2: Convert to fraction form
    312,764.84/468,784.36 = 143,930.72/x
  3. Step 3: Cross multiply
    312,764.84x = 468,784.36 × 143,930.72
  4. Step 4: Simplify right side
    312,764.84x = 67,472,471,811.41
  5. Step 5: Solve for x
    x = 67,472,471,811.41/312,764.84
  6. Step 6: Final answer
    x = 215,729.08

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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.