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Finding the Fourth Proportional to 518,824, 715,977.12 and 280,360

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Solution

The fourth proportional to 518,824, 715,977.12 and 280,360 is: 386,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,824 : 715,977.12 = 280,360 : x
  2. Step 2: Convert to fraction form
    518,824/715,977.12 = 280,360/x
  3. Step 3: Cross multiply
    518,824x = 715,977.12 × 280,360
  4. Step 4: Simplify right side
    518,824x = 200,731,345,363.20
  5. Step 5: Solve for x
    x = 200,731,345,363.20/518,824
  6. Step 6: Final answer
    x = 386,896.80

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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.