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Finding the Fourth Proportional to 315,580.40, 472,679.40 and 274,108.40

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Solution

The fourth proportional to 315,580.40, 472,679.40 and 274,108.40 is: 410,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,580.40 : 472,679.40 = 274,108.40 : x
  2. Step 2: Convert to fraction form
    315,580.40/472,679.40 = 274,108.40/x
  3. Step 3: Cross multiply
    315,580.40x = 472,679.40 × 274,108.40
  4. Step 4: Simplify right side
    315,580.40x = 129,565,394,046.96
  5. Step 5: Solve for x
    x = 129,565,394,046.96/315,580.40
  6. Step 6: Final answer
    x = 410,562.23

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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.