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Finding the Fourth Proportional to 220,381, 304,125.78 and 130,957

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Solution

The fourth proportional to 220,381, 304,125.78 and 130,957 is: 180,720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,381 : 304,125.78 = 130,957 : x
  2. Step 2: Convert to fraction form
    220,381/304,125.78 = 130,957/x
  3. Step 3: Cross multiply
    220,381x = 304,125.78 × 130,957
  4. Step 4: Simplify right side
    220,381x = 39,827,399,771.46
  5. Step 5: Solve for x
    x = 39,827,399,771.46/220,381
  6. Step 6: Final answer
    x = 180,720.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.