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Finding the Fourth Proportional to 375,590.52, 518,319 and 205,821

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Solution

The fourth proportional to 375,590.52, 518,319 and 205,821 is: 284,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,590.52 : 518,319 = 205,821 : x
  2. Step 2: Convert to fraction form
    375,590.52/518,319 = 205,821/x
  3. Step 3: Cross multiply
    375,590.52x = 518,319 × 205,821
  4. Step 4: Simplify right side
    375,590.52x = 106,680,934,899
  5. Step 5: Solve for x
    x = 106,680,934,899/375,590.52
  6. Step 6: Final answer
    x = 284,035.22

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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.