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Finding the Fourth Proportional to 565,540.31, 780,448.17 and 310,907.90

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Solution

The fourth proportional to 565,540.31, 780,448.17 and 310,907.90 is: 429,054.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,540.31 : 780,448.17 = 310,907.90 : x
  2. Step 2: Convert to fraction form
    565,540.31/780,448.17 = 310,907.90/x
  3. Step 3: Cross multiply
    565,540.31x = 780,448.17 × 310,907.90
  4. Step 4: Simplify right side
    565,540.31x = 242,647,501,593.54
  5. Step 5: Solve for x
    x = 242,647,501,593.54/565,540.31
  6. Step 6: Final answer
    x = 429,054.30

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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.