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Finding the Fourth Proportional to 375,339.74, 517,970.24 and 203,257.78

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Solution

The fourth proportional to 375,339.74, 517,970.24 and 203,257.78 is: 280,496.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,339.74 : 517,970.24 = 203,257.78 : x
  2. Step 2: Convert to fraction form
    375,339.74/517,970.24 = 203,257.78/x
  3. Step 3: Cross multiply
    375,339.74x = 517,970.24 × 203,257.78
  4. Step 4: Simplify right side
    375,339.74x = 105,281,479,539.47
  5. Step 5: Solve for x
    x = 105,281,479,539.47/375,339.74
  6. Step 6: Final answer
    x = 280,496.49

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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.