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Finding the Fourth Proportional to 375,278.31, 517,874.45 and 209,707.65

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Solution

The fourth proportional to 375,278.31, 517,874.45 and 209,707.65 is: 289,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,278.31 : 517,874.45 = 209,707.65 : x
  2. Step 2: Convert to fraction form
    375,278.31/517,874.45 = 209,707.65/x
  3. Step 3: Cross multiply
    375,278.31x = 517,874.45 × 209,707.65
  4. Step 4: Simplify right side
    375,278.31x = 108,602,232,856.00
  5. Step 5: Solve for x
    x = 108,602,232,856.00/375,278.31
  6. Step 6: Final answer
    x = 289,391.18

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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.