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Finding the Fourth Proportional to 307,073.64, 423,723.42 and 178,011.48

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Solution

The fourth proportional to 307,073.64, 423,723.42 and 178,011.48 is: 245,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,073.64 : 423,723.42 = 178,011.48 : x
  2. Step 2: Convert to fraction form
    307,073.64/423,723.42 = 178,011.48/x
  3. Step 3: Cross multiply
    307,073.64x = 423,723.42 × 178,011.48
  4. Step 4: Simplify right side
    307,073.64x = 75,427,633,104.86
  5. Step 5: Solve for x
    x = 75,427,633,104.86/307,073.64
  6. Step 6: Final answer
    x = 245,633.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.