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Finding the Fourth Proportional to 501,753.66, 692,744.31 and 310,969.50

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Solution

The fourth proportional to 501,753.66, 692,744.31 and 310,969.50 is: 429,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,753.66 : 692,744.31 = 310,969.50 : x
  2. Step 2: Convert to fraction form
    501,753.66/692,744.31 = 310,969.50/x
  3. Step 3: Cross multiply
    501,753.66x = 692,744.31 × 310,969.50
  4. Step 4: Simplify right side
    501,753.66x = 215,422,351,708.55
  5. Step 5: Solve for x
    x = 215,422,351,708.55/501,753.66
  6. Step 6: Final answer
    x = 429,338.87

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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.