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Finding the Fourth Proportional to 372,121.64, 513,541.38 and 213,176.36

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Solution

The fourth proportional to 372,121.64, 513,541.38 and 213,176.36 is: 294,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,121.64 : 513,541.38 = 213,176.36 : x
  2. Step 2: Convert to fraction form
    372,121.64/513,541.38 = 213,176.36/x
  3. Step 3: Cross multiply
    372,121.64x = 513,541.38 × 213,176.36
  4. Step 4: Simplify right side
    372,121.64x = 109,474,882,097.78
  5. Step 5: Solve for x
    x = 109,474,882,097.78/372,121.64
  6. Step 6: Final answer
    x = 294,191.12

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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.