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Finding the Fourth Proportional to 377,106.80, 565,660.20 and 209,145.20

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Solution

The fourth proportional to 377,106.80, 565,660.20 and 209,145.20 is: 313,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,106.80 : 565,660.20 = 209,145.20 : x
  2. Step 2: Convert to fraction form
    377,106.80/565,660.20 = 209,145.20/x
  3. Step 3: Cross multiply
    377,106.80x = 565,660.20 × 209,145.20
  4. Step 4: Simplify right side
    377,106.80x = 118,305,115,661.04
  5. Step 5: Solve for x
    x = 118,305,115,661.04/377,106.80
  6. Step 6: Final answer
    x = 313,717.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.