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Finding the Fourth Proportional to 375,776.10, 518,590.89 and 206,017.38

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Solution

The fourth proportional to 375,776.10, 518,590.89 and 206,017.38 is: 284,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,776.10 : 518,590.89 = 206,017.38 : x
  2. Step 2: Convert to fraction form
    375,776.10/518,590.89 = 206,017.38/x
  3. Step 3: Cross multiply
    375,776.10x = 518,590.89 × 206,017.38
  4. Step 4: Simplify right side
    375,776.10x = 106,838,736,449.67
  5. Step 5: Solve for x
    x = 106,838,736,449.67/375,776.10
  6. Step 6: Final answer
    x = 284,314.88

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1.5x scale

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.