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Finding the Fourth Proportional to 271,469.32, 407,039.92 and 121,681.68

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Solution

The fourth proportional to 271,469.32, 407,039.92 and 121,681.68 is: 182,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,469.32 : 407,039.92 = 121,681.68 : x
  2. Step 2: Convert to fraction form
    271,469.32/407,039.92 = 121,681.68/x
  3. Step 3: Cross multiply
    271,469.32x = 407,039.92 × 121,681.68
  4. Step 4: Simplify right side
    271,469.32x = 49,529,301,292.67
  5. Step 5: Solve for x
    x = 49,529,301,292.67/271,469.32
  6. Step 6: Final answer
    x = 182,448.98

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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.