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Finding the Fourth Proportional to 254,989.86, 382,484.25 and 121,465.14

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Solution

The fourth proportional to 254,989.86, 382,484.25 and 121,465.14 is: 182,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,989.86 : 382,484.25 = 121,465.14 : x
  2. Step 2: Convert to fraction form
    254,989.86/382,484.25 = 121,465.14/x
  3. Step 3: Cross multiply
    254,989.86x = 382,484.25 × 121,465.14
  4. Step 4: Simplify right side
    254,989.86x = 46,458,502,974.05
  5. Step 5: Solve for x
    x = 46,458,502,974.05/254,989.86
  6. Step 6: Final answer
    x = 182,197.45

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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.