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Finding the Fourth Proportional to 566,297.86, 781,475.34 and 321,327.22

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Solution

The fourth proportional to 566,297.86, 781,475.34 and 321,327.22 is: 443,422.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,297.86 : 781,475.34 = 321,327.22 : x
  2. Step 2: Convert to fraction form
    566,297.86/781,475.34 = 321,327.22/x
  3. Step 3: Cross multiply
    566,297.86x = 781,475.34 × 321,327.22
  4. Step 4: Simplify right side
    566,297.86x = 251,109,298,500.76
  5. Step 5: Solve for x
    x = 251,109,298,500.76/566,297.86
  6. Step 6: Final answer
    x = 443,422.65

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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.