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Finding the Fourth Proportional to 312,609.92, 468,380.64 and 223,407.68

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Solution

The fourth proportional to 312,609.92, 468,380.64 and 223,407.68 is: 334,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,609.92 : 468,380.64 = 223,407.68 : x
  2. Step 2: Convert to fraction form
    312,609.92/468,380.64 = 223,407.68/x
  3. Step 3: Cross multiply
    312,609.92x = 468,380.64 × 223,407.68
  4. Step 4: Simplify right side
    312,609.92x = 104,639,832,139.32
  5. Step 5: Solve for x
    x = 104,639,832,139.32/312,609.92
  6. Step 6: Final answer
    x = 334,729.72

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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.