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Finding the Fourth Proportional to 286,231, 429,346.52 and 89,239

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Solution

The fourth proportional to 286,231, 429,346.52 and 89,239 is: 133,858.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,231 : 429,346.52 = 89,239 : x
  2. Step 2: Convert to fraction form
    286,231/429,346.52 = 89,239/x
  3. Step 3: Cross multiply
    286,231x = 429,346.52 × 89,239
  4. Step 4: Simplify right side
    286,231x = 38,314,454,098.28
  5. Step 5: Solve for x
    x = 38,314,454,098.28/286,231
  6. Step 6: Final answer
    x = 133,858.51

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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.