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Finding the Fourth Proportional to 277,139.53, 415,398.25 and 136,996.57

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Solution

The fourth proportional to 277,139.53, 415,398.25 and 136,996.57 is: 205,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,139.53 : 415,398.25 = 136,996.57 : x
  2. Step 2: Convert to fraction form
    277,139.53/415,398.25 = 136,996.57/x
  3. Step 3: Cross multiply
    277,139.53x = 415,398.25 × 136,996.57
  4. Step 4: Simplify right side
    277,139.53x = 56,908,135,434.00
  5. Step 5: Solve for x
    x = 56,908,135,434.00/277,139.53
  6. Step 6: Final answer
    x = 205,341.10

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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.