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Finding the Fourth Proportional to 312,824.80, 431,698.80 and 169,584.40

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Solution

The fourth proportional to 312,824.80, 431,698.80 and 169,584.40 is: 234,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,824.80 : 431,698.80 = 169,584.40 : x
  2. Step 2: Convert to fraction form
    312,824.80/431,698.80 = 169,584.40/x
  3. Step 3: Cross multiply
    312,824.80x = 431,698.80 × 169,584.40
  4. Step 4: Simplify right side
    312,824.80x = 73,209,381,978.72
  5. Step 5: Solve for x
    x = 73,209,381,978.72/312,824.80
  6. Step 6: Final answer
    x = 234,026.78

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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.