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Finding the Fourth Proportional to 378,787.74, 522,722.07 and 209,017.50

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Solution

The fourth proportional to 378,787.74, 522,722.07 and 209,017.50 is: 288,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,787.74 : 522,722.07 = 209,017.50 : x
  2. Step 2: Convert to fraction form
    378,787.74/522,722.07 = 209,017.50/x
  3. Step 3: Cross multiply
    378,787.74x = 522,722.07 × 209,017.50
  4. Step 4: Simplify right side
    378,787.74x = 109,258,060,266.23
  5. Step 5: Solve for x
    x = 109,258,060,266.23/378,787.74
  6. Step 6: Final answer
    x = 288,441.38

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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.