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Finding the Fourth Proportional to 210,940.39, 316,784.20 and 202,222.16

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Solution

The fourth proportional to 210,940.39, 316,784.20 and 202,222.16 is: 303,691.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,940.39 : 316,784.20 = 202,222.16 : x
  2. Step 2: Convert to fraction form
    210,940.39/316,784.20 = 202,222.16/x
  3. Step 3: Cross multiply
    210,940.39x = 316,784.20 × 202,222.16
  4. Step 4: Simplify right side
    210,940.39x = 64,060,785,177.87
  5. Step 5: Solve for x
    x = 64,060,785,177.87/210,940.39
  6. Step 6: Final answer
    x = 303,691.41

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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.