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Finding the Fourth Proportional to 543,881.64, 815,738.22 and 277,838.76

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Solution

The fourth proportional to 543,881.64, 815,738.22 and 277,838.76 is: 416,715.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,881.64 : 815,738.22 = 277,838.76 : x
  2. Step 2: Convert to fraction form
    543,881.64/815,738.22 = 277,838.76/x
  3. Step 3: Cross multiply
    543,881.64x = 815,738.22 × 277,838.76
  4. Step 4: Simplify right side
    543,881.64x = 226,643,695,529.41
  5. Step 5: Solve for x
    x = 226,643,695,529.41/543,881.64
  6. Step 6: Final answer
    x = 416,715.11

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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.