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Finding the Fourth Proportional to 286,097.30, 429,145.95 and 236,233.70

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Solution

The fourth proportional to 286,097.30, 429,145.95 and 236,233.70 is: 354,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,097.30 : 429,145.95 = 236,233.70 : x
  2. Step 2: Convert to fraction form
    286,097.30/429,145.95 = 236,233.70/x
  3. Step 3: Cross multiply
    286,097.30x = 429,145.95 × 236,233.70
  4. Step 4: Simplify right side
    286,097.30x = 101,378,735,608.52
  5. Step 5: Solve for x
    x = 101,378,735,608.52/286,097.30
  6. Step 6: Final answer
    x = 354,350.55

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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.