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Finding the Fourth Proportional to 508,144.32, 701,252.01 and 287,363.93

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Solution

The fourth proportional to 508,144.32, 701,252.01 and 287,363.93 is: 396,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,144.32 : 701,252.01 = 287,363.93 : x
  2. Step 2: Convert to fraction form
    508,144.32/701,252.01 = 287,363.93/x
  3. Step 3: Cross multiply
    508,144.32x = 701,252.01 × 287,363.93
  4. Step 4: Simplify right side
    508,144.32x = 201,514,530,007.74
  5. Step 5: Solve for x
    x = 201,514,530,007.74/508,144.32
  6. Step 6: Final answer
    x = 396,569.48

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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.