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Finding the Fourth Proportional to 282,350.10, 389,643.78 and 155,033.88

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Solution

The fourth proportional to 282,350.10, 389,643.78 and 155,033.88 is: 213,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,350.10 : 389,643.78 = 155,033.88 : x
  2. Step 2: Convert to fraction form
    282,350.10/389,643.78 = 155,033.88/x
  3. Step 3: Cross multiply
    282,350.10x = 389,643.78 × 155,033.88
  4. Step 4: Simplify right side
    282,350.10x = 60,407,987,031.27
  5. Step 5: Solve for x
    x = 60,407,987,031.27/282,350.10
  6. Step 6: Final answer
    x = 213,947.11

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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.