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Finding the Fourth Proportional to 282,750.76, 390,196.84 and 161,893.90

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Solution

The fourth proportional to 282,750.76, 390,196.84 and 161,893.90 is: 223,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,750.76 : 390,196.84 = 161,893.90 : x
  2. Step 2: Convert to fraction form
    282,750.76/390,196.84 = 161,893.90/x
  3. Step 3: Cross multiply
    282,750.76x = 390,196.84 × 161,893.90
  4. Step 4: Simplify right side
    282,750.76x = 63,170,488,195.28
  5. Step 5: Solve for x
    x = 63,170,488,195.28/282,750.76
  6. Step 6: Final answer
    x = 223,414.04

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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.