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Finding the Fourth Proportional to 205,856.10, 308,784.15 and 168,458.40

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Solution

The fourth proportional to 205,856.10, 308,784.15 and 168,458.40 is: 252,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,856.10 : 308,784.15 = 168,458.40 : x
  2. Step 2: Convert to fraction form
    205,856.10/308,784.15 = 168,458.40/x
  3. Step 3: Cross multiply
    205,856.10x = 308,784.15 × 168,458.40
  4. Step 4: Simplify right side
    205,856.10x = 52,017,283,854.36
  5. Step 5: Solve for x
    x = 52,017,283,854.36/205,856.10
  6. Step 6: Final answer
    x = 252,687.60

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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.