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Finding the Fourth Proportional to 517,796.20, 714,575.03 and 285,240

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Solution

The fourth proportional to 517,796.20, 714,575.03 and 285,240 is: 393,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,796.20 : 714,575.03 = 285,240 : x
  2. Step 2: Convert to fraction form
    517,796.20/714,575.03 = 285,240/x
  3. Step 3: Cross multiply
    517,796.20x = 714,575.03 × 285,240
  4. Step 4: Simplify right side
    517,796.20x = 203,825,381,557.20
  5. Step 5: Solve for x
    x = 203,825,381,557.20/517,796.20
  6. Step 6: Final answer
    x = 393,640.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.