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Finding the Fourth Proportional to 532,753.24, 735,221.90 and 306,399

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Solution

The fourth proportional to 532,753.24, 735,221.90 and 306,399 is: 422,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,753.24 : 735,221.90 = 306,399 : x
  2. Step 2: Convert to fraction form
    532,753.24/735,221.90 = 306,399/x
  3. Step 3: Cross multiply
    532,753.24x = 735,221.90 × 306,399
  4. Step 4: Simplify right side
    532,753.24x = 225,271,254,938.10
  5. Step 5: Solve for x
    x = 225,271,254,938.10/532,753.24
  6. Step 6: Final answer
    x = 422,843.52

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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.