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Finding the Fourth Proportional to 407,131.65, 561,844.76 and 223,368.98

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Solution

The fourth proportional to 407,131.65, 561,844.76 and 223,368.98 is: 308,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,131.65 : 561,844.76 = 223,368.98 : x
  2. Step 2: Convert to fraction form
    407,131.65/561,844.76 = 223,368.98/x
  3. Step 3: Cross multiply
    407,131.65x = 561,844.76 × 223,368.98
  4. Step 4: Simplify right side
    407,131.65x = 125,498,687,033.48
  5. Step 5: Solve for x
    x = 125,498,687,033.48/407,131.65
  6. Step 6: Final answer
    x = 308,250.87

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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.