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Finding the Fourth Proportional to 508,414.32, 701,587.98 and 278,966.43

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Solution

The fourth proportional to 508,414.32, 701,587.98 and 278,966.43 is: 384,960.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,414.32 : 701,587.98 = 278,966.43 : x
  2. Step 2: Convert to fraction form
    508,414.32/701,587.98 = 278,966.43/x
  3. Step 3: Cross multiply
    508,414.32x = 701,587.98 × 278,966.43
  4. Step 4: Simplify right side
    508,414.32x = 195,719,494,111.51
  5. Step 5: Solve for x
    x = 195,719,494,111.51/508,414.32
  6. Step 6: Final answer
    x = 384,960.62

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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.