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Finding the Fourth Proportional to 312,604.32, 468,964.08 and 102,253.92

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Solution

The fourth proportional to 312,604.32, 468,964.08 and 102,253.92 is: 153,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,604.32 : 468,964.08 = 102,253.92 : x
  2. Step 2: Convert to fraction form
    312,604.32/468,964.08 = 102,253.92/x
  3. Step 3: Cross multiply
    312,604.32x = 468,964.08 × 102,253.92
  4. Step 4: Simplify right side
    312,604.32x = 47,953,415,519.19
  5. Step 5: Solve for x
    x = 47,953,415,519.19/312,604.32
  6. Step 6: Final answer
    x = 153,399.72

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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.