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Finding the Fourth Proportional to 539,508.52, 744,410.62 and 310,021.48

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Solution

The fourth proportional to 539,508.52, 744,410.62 and 310,021.48 is: 427,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,508.52 : 744,410.62 = 310,021.48 : x
  2. Step 2: Convert to fraction form
    539,508.52/744,410.62 = 310,021.48/x
  3. Step 3: Cross multiply
    539,508.52x = 744,410.62 × 310,021.48
  4. Step 4: Simplify right side
    539,508.52x = 230,783,282,140.12
  5. Step 5: Solve for x
    x = 230,783,282,140.12/539,508.52
  6. Step 6: Final answer
    x = 427,765.78

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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.