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Finding the Fourth Proportional to 286,797.31, 429,808.41 and 109,207.44

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Solution

The fourth proportional to 286,797.31, 429,808.41 and 109,207.44 is: 163,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,797.31 : 429,808.41 = 109,207.44 : x
  2. Step 2: Convert to fraction form
    286,797.31/429,808.41 = 109,207.44/x
  3. Step 3: Cross multiply
    286,797.31x = 429,808.41 × 109,207.44
  4. Step 4: Simplify right side
    286,797.31x = 46,938,276,146.57
  5. Step 5: Solve for x
    x = 46,938,276,146.57/286,797.31
  6. Step 6: Final answer
    x = 163,663.59

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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.