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Finding the Fourth Proportional to 375,582.72, 518,299.74 and 203,497.32

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Solution

The fourth proportional to 375,582.72, 518,299.74 and 203,497.32 is: 280,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,582.72 : 518,299.74 = 203,497.32 : x
  2. Step 2: Convert to fraction form
    375,582.72/518,299.74 = 203,497.32/x
  3. Step 3: Cross multiply
    375,582.72x = 518,299.74 × 203,497.32
  4. Step 4: Simplify right side
    375,582.72x = 105,472,608,046.70
  5. Step 5: Solve for x
    x = 105,472,608,046.70/375,582.72
  6. Step 6: Final answer
    x = 280,823.91

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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.