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Finding the Fourth Proportional to 561,039.27, 842,804.48 and 347,964.65

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Solution

The fourth proportional to 561,039.27, 842,804.48 and 347,964.65 is: 522,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,039.27 : 842,804.48 = 347,964.65 : x
  2. Step 2: Convert to fraction form
    561,039.27/842,804.48 = 347,964.65/x
  3. Step 3: Cross multiply
    561,039.27x = 842,804.48 × 347,964.65
  4. Step 4: Simplify right side
    561,039.27x = 293,266,162,054.80
  5. Step 5: Solve for x
    x = 293,266,162,054.80/561,039.27
  6. Step 6: Final answer
    x = 522,719.49

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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.