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Finding the Fourth Proportional to 305,958.90, 458,490.15 and 274,368.90

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Solution

The fourth proportional to 305,958.90, 458,490.15 and 274,368.90 is: 411,151.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,958.90 : 458,490.15 = 274,368.90 : x
  2. Step 2: Convert to fraction form
    305,958.90/458,490.15 = 274,368.90/x
  3. Step 3: Cross multiply
    305,958.90x = 458,490.15 × 274,368.90
  4. Step 4: Simplify right side
    305,958.90x = 125,795,438,116.34
  5. Step 5: Solve for x
    x = 125,795,438,116.34/305,958.90
  6. Step 6: Final answer
    x = 411,151.43

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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.