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Finding the Fourth Proportional to 519,892, 717,452.88 and 281,428

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Solution

The fourth proportional to 519,892, 717,452.88 and 281,428 is: 388,371.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,892 : 717,452.88 = 281,428 : x
  2. Step 2: Convert to fraction form
    519,892/717,452.88 = 281,428/x
  3. Step 3: Cross multiply
    519,892x = 717,452.88 × 281,428
  4. Step 4: Simplify right side
    519,892x = 201,911,329,112.64
  5. Step 5: Solve for x
    x = 201,911,329,112.64/519,892
  6. Step 6: Final answer
    x = 388,371.68

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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.