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Finding the Fourth Proportional to 272,774.71, 409,136.82 and 128,647.49

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Solution

The fourth proportional to 272,774.71, 409,136.82 and 128,647.49 is: 192,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,774.71 : 409,136.82 = 128,647.49 : x
  2. Step 2: Convert to fraction form
    272,774.71/409,136.82 = 128,647.49/x
  3. Step 3: Cross multiply
    272,774.71x = 409,136.82 × 128,647.49
  4. Step 4: Simplify right side
    272,774.71x = 52,634,422,913.90
  5. Step 5: Solve for x
    x = 52,634,422,913.90/272,774.71
  6. Step 6: Final answer
    x = 192,959.32

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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.