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Finding the Fourth Proportional to 407,464.36, 611,200.68 and 123,157.20

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Solution

The fourth proportional to 407,464.36, 611,200.68 and 123,157.20 is: 184,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,464.36 : 611,200.68 = 123,157.20 : x
  2. Step 2: Convert to fraction form
    407,464.36/611,200.68 = 123,157.20/x
  3. Step 3: Cross multiply
    407,464.36x = 611,200.68 × 123,157.20
  4. Step 4: Simplify right side
    407,464.36x = 75,273,764,386.90
  5. Step 5: Solve for x
    x = 75,273,764,386.90/407,464.36
  6. Step 6: Final answer
    x = 184,737.05

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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.