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Finding the Fourth Proportional to 403,727.10, 605,590.65 and 123,207.90

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Solution

The fourth proportional to 403,727.10, 605,590.65 and 123,207.90 is: 184,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,727.10 : 605,590.65 = 123,207.90 : x
  2. Step 2: Convert to fraction form
    403,727.10/605,590.65 = 123,207.90/x
  3. Step 3: Cross multiply
    403,727.10x = 605,590.65 × 123,207.90
  4. Step 4: Simplify right side
    403,727.10x = 74,613,552,246.14
  5. Step 5: Solve for x
    x = 74,613,552,246.14/403,727.10
  6. Step 6: Final answer
    x = 184,811.85

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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.