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Finding the Fourth Proportional to 375,875.92, 518,708.10 and 206,120.98

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Solution

The fourth proportional to 375,875.92, 518,708.10 and 206,120.98 is: 284,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,875.92 : 518,708.10 = 206,120.98 : x
  2. Step 2: Convert to fraction form
    375,875.92/518,708.10 = 206,120.98/x
  3. Step 3: Cross multiply
    375,875.92x = 518,708.10 × 206,120.98
  4. Step 4: Simplify right side
    375,875.92x = 106,916,621,905.94
  5. Step 5: Solve for x
    x = 106,916,621,905.94/375,875.92
  6. Step 6: Final answer
    x = 284,446.59

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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.