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Finding the Fourth Proportional to 381,216.58, 571,062.56 and 229,329.93

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Solution

The fourth proportional to 381,216.58, 571,062.56 and 229,329.93 is: 343,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,216.58 : 571,062.56 = 229,329.93 : x
  2. Step 2: Convert to fraction form
    381,216.58/571,062.56 = 229,329.93/x
  3. Step 3: Cross multiply
    381,216.58x = 571,062.56 × 229,329.93
  4. Step 4: Simplify right side
    381,216.58x = 130,961,737,905.26
  5. Step 5: Solve for x
    x = 130,961,737,905.26/381,216.58
  6. Step 6: Final answer
    x = 343,536.31

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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.