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Finding the Fourth Proportional to 205,712.90, 308,569.35 and 149,288.30

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Solution

The fourth proportional to 205,712.90, 308,569.35 and 149,288.30 is: 223,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,712.90 : 308,569.35 = 149,288.30 : x
  2. Step 2: Convert to fraction form
    205,712.90/308,569.35 = 149,288.30/x
  3. Step 3: Cross multiply
    205,712.90x = 308,569.35 × 149,288.30
  4. Step 4: Simplify right side
    205,712.90x = 46,065,793,693.61
  5. Step 5: Solve for x
    x = 46,065,793,693.61/205,712.90
  6. Step 6: Final answer
    x = 223,932.45

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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.