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Finding the Fourth Proportional to 306,781.32, 423,353.16 and 179,478.48

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Solution

The fourth proportional to 306,781.32, 423,353.16 and 179,478.48 is: 247,677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,781.32 : 423,353.16 = 179,478.48 : x
  2. Step 2: Convert to fraction form
    306,781.32/423,353.16 = 179,478.48/x
  3. Step 3: Cross multiply
    306,781.32x = 423,353.16 × 179,478.48
  4. Step 4: Simplify right side
    306,781.32x = 75,982,781,050.31
  5. Step 5: Solve for x
    x = 75,982,781,050.31/306,781.32
  6. Step 6: Final answer
    x = 247,677.34

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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.