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Finding the Fourth Proportional to 349,486.23, 524,127.78 and 136,206.66

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Solution

The fourth proportional to 349,486.23, 524,127.78 and 136,206.66 is: 204,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,486.23 : 524,127.78 = 136,206.66 : x
  2. Step 2: Convert to fraction form
    349,486.23/524,127.78 = 136,206.66/x
  3. Step 3: Cross multiply
    349,486.23x = 524,127.78 × 136,206.66
  4. Step 4: Simplify right side
    349,486.23x = 71,389,694,327.01
  5. Step 5: Solve for x
    x = 71,389,694,327.01/349,486.23
  6. Step 6: Final answer
    x = 204,270.41

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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.