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Finding the Fourth Proportional to 375,400.78, 518,065.98 and 205,634.90

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Solution

The fourth proportional to 375,400.78, 518,065.98 and 205,634.90 is: 283,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,400.78 : 518,065.98 = 205,634.90 : x
  2. Step 2: Convert to fraction form
    375,400.78/518,065.98 = 205,634.90/x
  3. Step 3: Cross multiply
    375,400.78x = 518,065.98 × 205,634.90
  4. Step 4: Simplify right side
    375,400.78x = 106,532,446,514.74
  5. Step 5: Solve for x
    x = 106,532,446,514.74/375,400.78
  6. Step 6: Final answer
    x = 283,783.23

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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.