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Finding the Fourth Proportional to 458,697.42, 687,992.64 and 121,764.25

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Solution

The fourth proportional to 458,697.42, 687,992.64 and 121,764.25 is: 182,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697.42 : 687,992.64 = 121,764.25 : x
  2. Step 2: Convert to fraction form
    458,697.42/687,992.64 = 121,764.25/x
  3. Step 3: Cross multiply
    458,697.42x = 687,992.64 × 121,764.25
  4. Step 4: Simplify right side
    458,697.42x = 83,772,904,375.16
  5. Step 5: Solve for x
    x = 83,772,904,375.16/458,697.42
  6. Step 6: Final answer
    x = 182,632.17

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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.