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Finding the Fourth Proportional to 271,909.70, 407,864.55 and 122,221.70

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Solution

The fourth proportional to 271,909.70, 407,864.55 and 122,221.70 is: 183,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,909.70 : 407,864.55 = 122,221.70 : x
  2. Step 2: Convert to fraction form
    271,909.70/407,864.55 = 122,221.70/x
  3. Step 3: Cross multiply
    271,909.70x = 407,864.55 × 122,221.70
  4. Step 4: Simplify right side
    271,909.70x = 49,849,898,670.74
  5. Step 5: Solve for x
    x = 49,849,898,670.74/271,909.70
  6. Step 6: Final answer
    x = 183,332.55

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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.