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Finding the Fourth Proportional to 372,381.12, 513,864 and 209,022.24

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Solution

The fourth proportional to 372,381.12, 513,864 and 209,022.24 is: 288,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,381.12 : 513,864 = 209,022.24 : x
  2. Step 2: Convert to fraction form
    372,381.12/513,864 = 209,022.24/x
  3. Step 3: Cross multiply
    372,381.12x = 513,864 × 209,022.24
  4. Step 4: Simplify right side
    372,381.12x = 107,409,004,335.36
  5. Step 5: Solve for x
    x = 107,409,004,335.36/372,381.12
  6. Step 6: Final answer
    x = 288,438.37

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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.