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Finding the Fourth Proportional to 305,877.64, 422,096.86 and 169,920.40

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Solution

The fourth proportional to 305,877.64, 422,096.86 and 169,920.40 is: 234,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,877.64 : 422,096.86 = 169,920.40 : x
  2. Step 2: Convert to fraction form
    305,877.64/422,096.86 = 169,920.40/x
  3. Step 3: Cross multiply
    305,877.64x = 422,096.86 × 169,920.40
  4. Step 4: Simplify right side
    305,877.64x = 71,722,867,289.94
  5. Step 5: Solve for x
    x = 71,722,867,289.94/305,877.64
  6. Step 6: Final answer
    x = 234,482.22

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1.5x scale

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.