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Finding the Fourth Proportional to 271,032.63, 406,921.32 and 138,002.28

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Solution

The fourth proportional to 271,032.63, 406,921.32 and 138,002.28 is: 207,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,032.63 : 406,921.32 = 138,002.28 : x
  2. Step 2: Convert to fraction form
    271,032.63/406,921.32 = 138,002.28/x
  3. Step 3: Cross multiply
    271,032.63x = 406,921.32 × 138,002.28
  4. Step 4: Simplify right side
    271,032.63x = 56,156,069,940.61
  5. Step 5: Solve for x
    x = 56,156,069,940.61/271,032.63
  6. Step 6: Final answer
    x = 207,193.02

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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.