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Finding the Fourth Proportional to 535,654.44, 739,203.12 and 306,216.72

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Solution

The fourth proportional to 535,654.44, 739,203.12 and 306,216.72 is: 422,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,654.44 : 739,203.12 = 306,216.72 : x
  2. Step 2: Convert to fraction form
    535,654.44/739,203.12 = 306,216.72/x
  3. Step 3: Cross multiply
    535,654.44x = 739,203.12 × 306,216.72
  4. Step 4: Simplify right side
    535,654.44x = 226,356,354,820.17
  5. Step 5: Solve for x
    x = 226,356,354,820.17/535,654.44
  6. Step 6: Final answer
    x = 422,579.07

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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.