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Finding the Fourth Proportional to 227,982, 314,615.28 and 127,380

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Solution

The fourth proportional to 227,982, 314,615.28 and 127,380 is: 175,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,982 : 314,615.28 = 127,380 : x
  2. Step 2: Convert to fraction form
    227,982/314,615.28 = 127,380/x
  3. Step 3: Cross multiply
    227,982x = 314,615.28 × 127,380
  4. Step 4: Simplify right side
    227,982x = 40,075,694,366.40
  5. Step 5: Solve for x
    x = 40,075,694,366.40/227,982
  6. Step 6: Final answer
    x = 175,784.47

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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.