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Finding the Fourth Proportional to 205,392, 307,584.80 and 169,634.52

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Solution

The fourth proportional to 205,392, 307,584.80 and 169,634.52 is: 254,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392 : 307,584.80 = 169,634.52 : x
  2. Step 2: Convert to fraction form
    205,392/307,584.80 = 169,634.52/x
  3. Step 3: Cross multiply
    205,392x = 307,584.80 × 169,634.52
  4. Step 4: Simplify right side
    205,392x = 52,176,999,907.30
  5. Step 5: Solve for x
    x = 52,176,999,907.30/205,392
  6. Step 6: Final answer
    x = 254,036.18

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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.