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Finding the Fourth Proportional to 253,273, 380,040.72 and 128,614

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Solution

The fourth proportional to 253,273, 380,040.72 and 128,614 is: 192,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,273 : 380,040.72 = 128,614 : x
  2. Step 2: Convert to fraction form
    253,273/380,040.72 = 128,614/x
  3. Step 3: Cross multiply
    253,273x = 380,040.72 × 128,614
  4. Step 4: Simplify right side
    253,273x = 48,878,557,162.08
  5. Step 5: Solve for x
    x = 48,878,557,162.08/253,273
  6. Step 6: Final answer
    x = 192,987.63

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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.