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Finding the Fourth Proportional to 617,728.37, 852,482.94 and 345,794.65

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Solution

The fourth proportional to 617,728.37, 852,482.94 and 345,794.65 is: 477,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,728.37 : 852,482.94 = 345,794.65 : x
  2. Step 2: Convert to fraction form
    617,728.37/852,482.94 = 345,794.65/x
  3. Step 3: Cross multiply
    617,728.37x = 852,482.94 × 345,794.65
  4. Step 4: Simplify right side
    617,728.37x = 294,784,039,868.27
  5. Step 5: Solve for x
    x = 294,784,039,868.27/617,728.37
  6. Step 6: Final answer
    x = 477,206.58

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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.