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Finding the Fourth Proportional to 447,806.78, 617,320.53 and 340,190.04

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Solution

The fourth proportional to 447,806.78, 617,320.53 and 340,190.04 is: 468,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,806.78 : 617,320.53 = 340,190.04 : x
  2. Step 2: Convert to fraction form
    447,806.78/617,320.53 = 340,190.04/x
  3. Step 3: Cross multiply
    447,806.78x = 617,320.53 × 340,190.04
  4. Step 4: Simplify right side
    447,806.78x = 210,006,295,793.52
  5. Step 5: Solve for x
    x = 210,006,295,793.52/447,806.78
  6. Step 6: Final answer
    x = 468,966.32

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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.