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Finding the Fourth Proportional to 277,467.40, 415,617.90 and 230,811.40

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Solution

The fourth proportional to 277,467.40, 415,617.90 and 230,811.40 is: 345,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,467.40 : 415,617.90 = 230,811.40 : x
  2. Step 2: Convert to fraction form
    277,467.40/415,617.90 = 230,811.40/x
  3. Step 3: Cross multiply
    277,467.40x = 415,617.90 × 230,811.40
  4. Step 4: Simplify right side
    277,467.40x = 95,929,349,364.06
  5. Step 5: Solve for x
    x = 95,929,349,364.06/277,467.40
  6. Step 6: Final answer
    x = 345,731.96

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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.