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Finding the Fourth Proportional to 282,449.78, 389,799.78 and 155,126.69

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Solution

The fourth proportional to 282,449.78, 389,799.78 and 155,126.69 is: 214,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,449.78 : 389,799.78 = 155,126.69 : x
  2. Step 2: Convert to fraction form
    282,449.78/389,799.78 = 155,126.69/x
  3. Step 3: Cross multiply
    282,449.78x = 389,799.78 × 155,126.69
  4. Step 4: Simplify right side
    282,449.78x = 60,468,349,634.13
  5. Step 5: Solve for x
    x = 60,468,349,634.13/282,449.78
  6. Step 6: Final answer
    x = 214,085.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.