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Finding the Fourth Proportional to 519,086.88, 716,357.05 and 301,279.23

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Solution

The fourth proportional to 519,086.88, 716,357.05 and 301,279.23 is: 415,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,086.88 : 716,357.05 = 301,279.23 : x
  2. Step 2: Convert to fraction form
    519,086.88/716,357.05 = 301,279.23/x
  3. Step 3: Cross multiply
    519,086.88x = 716,357.05 × 301,279.23
  4. Step 4: Simplify right side
    519,086.88x = 215,823,499,675.87
  5. Step 5: Solve for x
    x = 215,823,499,675.87/519,086.88
  6. Step 6: Final answer
    x = 415,775.29

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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.