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Finding the Fourth Proportional to 515,203.64, 772,796.24 and 211,531.86

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Solution

The fourth proportional to 515,203.64, 772,796.24 and 211,531.86 is: 317,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,203.64 : 772,796.24 = 211,531.86 : x
  2. Step 2: Convert to fraction form
    515,203.64/772,796.24 = 211,531.86/x
  3. Step 3: Cross multiply
    515,203.64x = 772,796.24 × 211,531.86
  4. Step 4: Simplify right side
    515,203.64x = 163,471,023,015.37
  5. Step 5: Solve for x
    x = 163,471,023,015.37/515,203.64
  6. Step 6: Final answer
    x = 317,294.00

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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.