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Finding the Fourth Proportional to 381,477.45, 572,221.65 and 115,240.28

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Solution

The fourth proportional to 381,477.45, 572,221.65 and 115,240.28 is: 172,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,477.45 : 572,221.65 = 115,240.28 : x
  2. Step 2: Convert to fraction form
    381,477.45/572,221.65 = 115,240.28/x
  3. Step 3: Cross multiply
    381,477.45x = 572,221.65 × 115,240.28
  4. Step 4: Simplify right side
    381,477.45x = 65,942,983,168.06
  5. Step 5: Solve for x
    x = 65,942,983,168.06/381,477.45
  6. Step 6: Final answer
    x = 172,862.07

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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.