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Finding the Fourth Proportional to 456,205.20, 683,530.20 and 389,331.60

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Solution

The fourth proportional to 456,205.20, 683,530.20 and 389,331.60 is: 583,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205.20 : 683,530.20 = 389,331.60 : x
  2. Step 2: Convert to fraction form
    456,205.20/683,530.20 = 389,331.60/x
  3. Step 3: Cross multiply
    456,205.20x = 683,530.20 × 389,331.60
  4. Step 4: Simplify right side
    456,205.20x = 266,119,906,414.32
  5. Step 5: Solve for x
    x = 266,119,906,414.32/456,205.20
  6. Step 6: Final answer
    x = 583,333.79

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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.