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Finding the Fourth Proportional to 381,263.49, 571,523.34 and 181,530.21

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Solution

The fourth proportional to 381,263.49, 571,523.34 and 181,530.21 is: 272,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,263.49 : 571,523.34 = 181,530.21 : x
  2. Step 2: Convert to fraction form
    381,263.49/571,523.34 = 181,530.21/x
  3. Step 3: Cross multiply
    381,263.49x = 571,523.34 × 181,530.21
  4. Step 4: Simplify right side
    381,263.49x = 103,748,751,930.10
  5. Step 5: Solve for x
    x = 103,748,751,930.10/381,263.49
  6. Step 6: Final answer
    x = 272,118.25

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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.