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Finding the Fourth Proportional to 282,530.92, 389,894.34 and 155,203.24

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Solution

The fourth proportional to 282,530.92, 389,894.34 and 155,203.24 is: 214,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,530.92 : 389,894.34 = 155,203.24 : x
  2. Step 2: Convert to fraction form
    282,530.92/389,894.34 = 155,203.24/x
  3. Step 3: Cross multiply
    282,530.92x = 389,894.34 × 155,203.24
  4. Step 4: Simplify right side
    282,530.92x = 60,512,864,825.66
  5. Step 5: Solve for x
    x = 60,512,864,825.66/282,530.92
  6. Step 6: Final answer
    x = 214,181.39

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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.