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Finding the Fourth Proportional to 568,399.98, 784,424.34 and 338,896.20

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Solution

The fourth proportional to 568,399.98, 784,424.34 and 338,896.20 is: 467,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,399.98 : 784,424.34 = 338,896.20 : x
  2. Step 2: Convert to fraction form
    568,399.98/784,424.34 = 338,896.20/x
  3. Step 3: Cross multiply
    568,399.98x = 784,424.34 × 338,896.20
  4. Step 4: Simplify right side
    568,399.98x = 265,838,428,013.51
  5. Step 5: Solve for x
    x = 265,838,428,013.51/568,399.98
  6. Step 6: Final answer
    x = 467,696.05

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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.