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Finding the Fourth Proportional to 568,780.78, 784,912.67 and 314,126.50

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Solution

The fourth proportional to 568,780.78, 784,912.67 and 314,126.50 is: 433,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,780.78 : 784,912.67 = 314,126.50 : x
  2. Step 2: Convert to fraction form
    568,780.78/784,912.67 = 314,126.50/x
  3. Step 3: Cross multiply
    568,780.78x = 784,912.67 × 314,126.50
  4. Step 4: Simplify right side
    568,780.78x = 246,561,868,262.12
  5. Step 5: Solve for x
    x = 246,561,868,262.12/568,780.78
  6. Step 6: Final answer
    x = 433,491.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.