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Finding the Fourth Proportional to 282,866.85, 390,356.25 and 155,542.44

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Solution

The fourth proportional to 282,866.85, 390,356.25 and 155,542.44 is: 214,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,866.85 : 390,356.25 = 155,542.44 : x
  2. Step 2: Convert to fraction form
    282,866.85/390,356.25 = 155,542.44/x
  3. Step 3: Cross multiply
    282,866.85x = 390,356.25 × 155,542.44
  4. Step 4: Simplify right side
    282,866.85x = 60,716,963,594.25
  5. Step 5: Solve for x
    x = 60,716,963,594.25/282,866.85
  6. Step 6: Final answer
    x = 214,648.57

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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.