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Finding the Fourth Proportional to 286,273.30, 429,409.95 and 161,857.30

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Solution

The fourth proportional to 286,273.30, 429,409.95 and 161,857.30 is: 242,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,273.30 : 429,409.95 = 161,857.30 : x
  2. Step 2: Convert to fraction form
    286,273.30/429,409.95 = 161,857.30/x
  3. Step 3: Cross multiply
    286,273.30x = 429,409.95 × 161,857.30
  4. Step 4: Simplify right side
    286,273.30x = 69,503,135,100.14
  5. Step 5: Solve for x
    x = 69,503,135,100.14/286,273.30
  6. Step 6: Final answer
    x = 242,785.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.