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Finding the Fourth Proportional to 617,155.81, 851,635.01 and 345,176.64

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Solution

The fourth proportional to 617,155.81, 851,635.01 and 345,176.64 is: 476,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,155.81 : 851,635.01 = 345,176.64 : x
  2. Step 2: Convert to fraction form
    617,155.81/851,635.01 = 345,176.64/x
  3. Step 3: Cross multiply
    617,155.81x = 851,635.01 × 345,176.64
  4. Step 4: Simplify right side
    617,155.81x = 293,964,512,121.11
  5. Step 5: Solve for x
    x = 293,964,512,121.11/617,155.81
  6. Step 6: Final answer
    x = 476,321.39

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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.