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Finding the Fourth Proportional to 305,871.90, 458,370.45 and 212,268.30

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Solution

The fourth proportional to 305,871.90, 458,370.45 and 212,268.30 is: 318,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,871.90 : 458,370.45 = 212,268.30 : x
  2. Step 2: Convert to fraction form
    305,871.90/458,370.45 = 212,268.30/x
  3. Step 3: Cross multiply
    305,871.90x = 458,370.45 × 212,268.30
  4. Step 4: Simplify right side
    305,871.90x = 97,297,516,191.74
  5. Step 5: Solve for x
    x = 97,297,516,191.74/305,871.90
  6. Step 6: Final answer
    x = 318,098.90

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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.