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Finding the Fourth Proportional to 378,955.44, 522,959.76 and 209,189.16

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Solution

The fourth proportional to 378,955.44, 522,959.76 and 209,189.16 is: 288,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,955.44 : 522,959.76 = 209,189.16 : x
  2. Step 2: Convert to fraction form
    378,955.44/522,959.76 = 209,189.16/x
  3. Step 3: Cross multiply
    378,955.44x = 522,959.76 × 209,189.16
  4. Step 4: Simplify right side
    378,955.44x = 109,397,512,908.20
  5. Step 5: Solve for x
    x = 109,397,512,908.20/378,955.44
  6. Step 6: Final answer
    x = 288,681.73

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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.