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Finding the Fourth Proportional to 381,390.84, 572,090.40 and 115,153.56

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Solution

The fourth proportional to 381,390.84, 572,090.40 and 115,153.56 is: 172,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,390.84 : 572,090.40 = 115,153.56 : x
  2. Step 2: Convert to fraction form
    381,390.84/572,090.40 = 115,153.56/x
  3. Step 3: Cross multiply
    381,390.84x = 572,090.40 × 115,153.56
  4. Step 4: Simplify right side
    381,390.84x = 65,878,246,201.82
  5. Step 5: Solve for x
    x = 65,878,246,201.82/381,390.84
  6. Step 6: Final answer
    x = 172,731.59

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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.