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Finding the Fourth Proportional to 617,839.20, 926,758.80 and 218,476.80

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Solution

The fourth proportional to 617,839.20, 926,758.80 and 218,476.80 is: 327,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,839.20 : 926,758.80 = 218,476.80 : x
  2. Step 2: Convert to fraction form
    617,839.20/926,758.80 = 218,476.80/x
  3. Step 3: Cross multiply
    617,839.20x = 926,758.80 × 218,476.80
  4. Step 4: Simplify right side
    617,839.20x = 202,475,296,995.84
  5. Step 5: Solve for x
    x = 202,475,296,995.84/617,839.20
  6. Step 6: Final answer
    x = 327,715.20

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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.