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Finding the Fourth Proportional to 268,654.40, 403,273.20 and 209,751.20

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Solution

The fourth proportional to 268,654.40, 403,273.20 and 209,751.20 is: 314,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,654.40 : 403,273.20 = 209,751.20 : x
  2. Step 2: Convert to fraction form
    268,654.40/403,273.20 = 209,751.20/x
  3. Step 3: Cross multiply
    268,654.40x = 403,273.20 × 209,751.20
  4. Step 4: Simplify right side
    268,654.40x = 84,587,037,627.84
  5. Step 5: Solve for x
    x = 84,587,037,627.84/268,654.40
  6. Step 6: Final answer
    x = 314,854.47

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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.