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Finding the Fourth Proportional to 378,882.90, 522,862.74 and 209,117.16

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Solution

The fourth proportional to 378,882.90, 522,862.74 and 209,117.16 is: 288,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,882.90 : 522,862.74 = 209,117.16 : x
  2. Step 2: Convert to fraction form
    378,882.90/522,862.74 = 209,117.16/x
  3. Step 3: Cross multiply
    378,882.90x = 522,862.74 × 209,117.16
  4. Step 4: Simplify right side
    378,882.90x = 109,339,571,258.62
  5. Step 5: Solve for x
    x = 109,339,571,258.62/378,882.90
  6. Step 6: Final answer
    x = 288,584.08

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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.