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Finding the Fourth Proportional to 277,877.20, 417,204.60 and 172,901.20

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Solution

The fourth proportional to 277,877.20, 417,204.60 and 172,901.20 is: 259,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,877.20 : 417,204.60 = 172,901.20 : x
  2. Step 2: Convert to fraction form
    277,877.20/417,204.60 = 172,901.20/x
  3. Step 3: Cross multiply
    277,877.20x = 417,204.60 × 172,901.20
  4. Step 4: Simplify right side
    277,877.20x = 72,135,175,985.52
  5. Step 5: Solve for x
    x = 72,135,175,985.52/277,877.20
  6. Step 6: Final answer
    x = 259,593.72

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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.