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Finding the Fourth Proportional to 375,340.46, 517,970.11 and 203,259.78

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Solution

The fourth proportional to 375,340.46, 517,970.11 and 203,259.78 is: 280,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,340.46 : 517,970.11 = 203,259.78 : x
  2. Step 2: Convert to fraction form
    375,340.46/517,970.11 = 203,259.78/x
  3. Step 3: Cross multiply
    375,340.46x = 517,970.11 × 203,259.78
  4. Step 4: Simplify right side
    375,340.46x = 105,282,489,620.64
  5. Step 5: Solve for x
    x = 105,282,489,620.64/375,340.46
  6. Step 6: Final answer
    x = 280,498.64

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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.