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Finding the Fourth Proportional to 271,246, 406,869.08 and 84,257.52

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Solution

The fourth proportional to 271,246, 406,869.08 and 84,257.52 is: 126,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,246 : 406,869.08 = 84,257.52 : x
  2. Step 2: Convert to fraction form
    271,246/406,869.08 = 84,257.52/x
  3. Step 3: Cross multiply
    271,246x = 406,869.08 × 84,257.52
  4. Step 4: Simplify right side
    271,246x = 34,281,779,645.48
  5. Step 5: Solve for x
    x = 34,281,779,645.48/271,246
  6. Step 6: Final answer
    x = 126,386.30

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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.