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Finding the Fourth Proportional to 265,655.82, 398,266.58 and 123,589.65

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Solution

The fourth proportional to 265,655.82, 398,266.58 and 123,589.65 is: 185,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,655.82 : 398,266.58 = 123,589.65 : x
  2. Step 2: Convert to fraction form
    265,655.82/398,266.58 = 123,589.65/x
  3. Step 3: Cross multiply
    265,655.82x = 398,266.58 × 123,589.65
  4. Step 4: Simplify right side
    265,655.82x = 49,221,627,537.87
  5. Step 5: Solve for x
    x = 49,221,627,537.87/265,655.82
  6. Step 6: Final answer
    x = 185,283.45

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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.