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Finding the Fourth Proportional to 568,143.09, 784,036.56 and 313,494.06

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Solution

The fourth proportional to 568,143.09, 784,036.56 and 313,494.06 is: 432,621.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,143.09 : 784,036.56 = 313,494.06 : x
  2. Step 2: Convert to fraction form
    568,143.09/784,036.56 = 313,494.06/x
  3. Step 3: Cross multiply
    568,143.09x = 784,036.56 × 313,494.06
  4. Step 4: Simplify right side
    568,143.09x = 245,790,804,382.83
  5. Step 5: Solve for x
    x = 245,790,804,382.83/568,143.09
  6. Step 6: Final answer
    x = 432,621.30

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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.