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Finding the Fourth Proportional to 510,738.57, 704,813.54 and 281,291.49

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Solution

The fourth proportional to 510,738.57, 704,813.54 and 281,291.49 is: 388,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,738.57 : 704,813.54 = 281,291.49 : x
  2. Step 2: Convert to fraction form
    510,738.57/704,813.54 = 281,291.49/x
  3. Step 3: Cross multiply
    510,738.57x = 704,813.54 × 281,291.49
  4. Step 4: Simplify right side
    510,738.57x = 198,258,049,432.32
  5. Step 5: Solve for x
    x = 198,258,049,432.32/510,738.57
  6. Step 6: Final answer
    x = 388,179.12

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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.