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Finding the Fourth Proportional to 375,689.16, 518,448.10 and 205,922.92

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Solution

The fourth proportional to 375,689.16, 518,448.10 and 205,922.92 is: 284,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,689.16 : 518,448.10 = 205,922.92 : x
  2. Step 2: Convert to fraction form
    375,689.16/518,448.10 = 205,922.92/x
  3. Step 3: Cross multiply
    375,689.16x = 518,448.10 × 205,922.92
  4. Step 4: Simplify right side
    375,689.16x = 106,760,346,620.45
  5. Step 5: Solve for x
    x = 106,760,346,620.45/375,689.16
  6. Step 6: Final answer
    x = 284,172.02

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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.