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Finding the Fourth Proportional to 259,827.60, 389,449.80 and 110,042.40

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Solution

The fourth proportional to 259,827.60, 389,449.80 and 110,042.40 is: 164,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,827.60 : 389,449.80 = 110,042.40 : x
  2. Step 2: Convert to fraction form
    259,827.60/389,449.80 = 110,042.40/x
  3. Step 3: Cross multiply
    259,827.60x = 389,449.80 × 110,042.40
  4. Step 4: Simplify right side
    259,827.60x = 42,855,990,671.52
  5. Step 5: Solve for x
    x = 42,855,990,671.52/259,827.60
  6. Step 6: Final answer
    x = 164,940.10

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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.