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Finding the Fourth Proportional to 568,731.78, 784,838.97 and 314,077.50

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Solution

The fourth proportional to 568,731.78, 784,838.97 and 314,077.50 is: 433,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,731.78 : 784,838.97 = 314,077.50 : x
  2. Step 2: Convert to fraction form
    568,731.78/784,838.97 = 314,077.50/x
  3. Step 3: Cross multiply
    568,731.78x = 784,838.97 × 314,077.50
  4. Step 4: Simplify right side
    568,731.78x = 246,500,261,600.18
  5. Step 5: Solve for x
    x = 246,500,261,600.18/568,731.78
  6. Step 6: Final answer
    x = 433,420.94

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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.