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Finding the Fourth Proportional to 518,745.38, 715,868.64 and 280,281.38

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Solution

The fourth proportional to 518,745.38, 715,868.64 and 280,281.38 is: 386,788.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,745.38 : 715,868.64 = 280,281.38 : x
  2. Step 2: Convert to fraction form
    518,745.38/715,868.64 = 280,281.38/x
  3. Step 3: Cross multiply
    518,745.38x = 715,868.64 × 280,281.38
  4. Step 4: Simplify right side
    518,745.38x = 200,644,646,738.58
  5. Step 5: Solve for x
    x = 200,644,646,738.58/518,745.38
  6. Step 6: Final answer
    x = 386,788.31

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1.5x scale

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.