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Finding the Fourth Proportional to 532,754.24, 735,223.28 and 306,400

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Solution

The fourth proportional to 532,754.24, 735,223.28 and 306,400 is: 422,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,754.24 : 735,223.28 = 306,400 : x
  2. Step 2: Convert to fraction form
    532,754.24/735,223.28 = 306,400/x
  3. Step 3: Cross multiply
    532,754.24x = 735,223.28 × 306,400
  4. Step 4: Simplify right side
    532,754.24x = 225,272,412,992
  5. Step 5: Solve for x
    x = 225,272,412,992/532,754.24
  6. Step 6: Final answer
    x = 422,844.90

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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.