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Finding the Fourth Proportional to 519,308.52, 716,647.88 and 280,844.52

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Solution

The fourth proportional to 519,308.52, 716,647.88 and 280,844.52 is: 387,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,308.52 : 716,647.88 = 280,844.52 : x
  2. Step 2: Convert to fraction form
    519,308.52/716,647.88 = 280,844.52/x
  3. Step 3: Cross multiply
    519,308.52x = 716,647.88 × 280,844.52
  4. Step 4: Simplify right side
    519,308.52x = 201,266,629,867.62
  5. Step 5: Solve for x
    x = 201,266,629,867.62/519,308.52
  6. Step 6: Final answer
    x = 387,566.59

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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.