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Finding the Fourth Proportional to 520,067.20, 778,372.80 and 377,507.20

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Solution

The fourth proportional to 520,067.20, 778,372.80 and 377,507.20 is: 565,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,067.20 : 778,372.80 = 377,507.20 : x
  2. Step 2: Convert to fraction form
    520,067.20/778,372.80 = 377,507.20/x
  3. Step 3: Cross multiply
    520,067.20x = 778,372.80 × 377,507.20
  4. Step 4: Simplify right side
    520,067.20x = 293,841,336,284.16
  5. Step 5: Solve for x
    x = 293,841,336,284.16/520,067.20
  6. Step 6: Final answer
    x = 565,006.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.