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Finding the Fourth Proportional to 458,327.70, 687,297.15 and 221,742.90

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Solution

The fourth proportional to 458,327.70, 687,297.15 and 221,742.90 is: 332,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,327.70 : 687,297.15 = 221,742.90 : x
  2. Step 2: Convert to fraction form
    458,327.70/687,297.15 = 221,742.90/x
  3. Step 3: Cross multiply
    458,327.70x = 687,297.15 × 221,742.90
  4. Step 4: Simplify right side
    458,327.70x = 152,403,263,202.74
  5. Step 5: Solve for x
    x = 152,403,263,202.74/458,327.70
  6. Step 6: Final answer
    x = 332,520.30

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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.