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Finding the Fourth Proportional to 240,857.12, 360,948.96 and 205,132.64

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Solution

The fourth proportional to 240,857.12, 360,948.96 and 205,132.64 is: 307,412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,857.12 : 360,948.96 = 205,132.64 : x
  2. Step 2: Convert to fraction form
    240,857.12/360,948.96 = 205,132.64/x
  3. Step 3: Cross multiply
    240,857.12x = 360,948.96 × 205,132.64
  4. Step 4: Simplify right side
    240,857.12x = 74,042,413,070.05
  5. Step 5: Solve for x
    x = 74,042,413,070.05/240,857.12
  6. Step 6: Final answer
    x = 307,412.18

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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.