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Finding the Fourth Proportional to 271,287.80, 406,931.70 and 138,577.40

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Solution

The fourth proportional to 271,287.80, 406,931.70 and 138,577.40 is: 207,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,287.80 : 406,931.70 = 138,577.40 : x
  2. Step 2: Convert to fraction form
    271,287.80/406,931.70 = 138,577.40/x
  3. Step 3: Cross multiply
    271,287.80x = 406,931.70 × 138,577.40
  4. Step 4: Simplify right side
    271,287.80x = 56,391,536,963.58
  5. Step 5: Solve for x
    x = 56,391,536,963.58/271,287.80
  6. Step 6: Final answer
    x = 207,866.10

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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.