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Finding the Fourth Proportional to 378,889.90, 522,872.40 and 209,124.16

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Solution

The fourth proportional to 378,889.90, 522,872.40 and 209,124.16 is: 288,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,889.90 : 522,872.40 = 209,124.16 : x
  2. Step 2: Convert to fraction form
    378,889.90/522,872.40 = 209,124.16/x
  3. Step 3: Cross multiply
    378,889.90x = 522,872.40 × 209,124.16
  4. Step 4: Simplify right side
    378,889.90x = 109,345,251,437.18
  5. Step 5: Solve for x
    x = 109,345,251,437.18/378,889.90
  6. Step 6: Final answer
    x = 288,593.74

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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.