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Finding the Fourth Proportional to 378,915.91, 522,866.73 and 209,139.10

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Solution

The fourth proportional to 378,915.91, 522,866.73 and 209,139.10 is: 288,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,915.91 : 522,866.73 = 209,139.10 : x
  2. Step 2: Convert to fraction form
    378,915.91/522,866.73 = 209,139.10/x
  3. Step 3: Cross multiply
    378,915.91x = 522,866.73 × 209,139.10
  4. Step 4: Simplify right side
    378,915.91x = 109,351,877,332.14
  5. Step 5: Solve for x
    x = 109,351,877,332.14/378,915.91
  6. Step 6: Final answer
    x = 288,591.41

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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.