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Finding the Fourth Proportional to 257,969.40, 385,952.94 and 226,140.05

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Solution

The fourth proportional to 257,969.40, 385,952.94 and 226,140.05 is: 338,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,969.40 : 385,952.94 = 226,140.05 : x
  2. Step 2: Convert to fraction form
    257,969.40/385,952.94 = 226,140.05/x
  3. Step 3: Cross multiply
    257,969.40x = 385,952.94 × 226,140.05
  4. Step 4: Simplify right side
    257,969.40x = 87,279,414,088.78
  5. Step 5: Solve for x
    x = 87,279,414,088.78/257,969.40
  6. Step 6: Final answer
    x = 338,332.43

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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.