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Finding the Fourth Proportional to 215,408.16, 297,248.94 and 119,912.40

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Solution

The fourth proportional to 215,408.16, 297,248.94 and 119,912.40 is: 165,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,408.16 : 297,248.94 = 119,912.40 : x
  2. Step 2: Convert to fraction form
    215,408.16/297,248.94 = 119,912.40/x
  3. Step 3: Cross multiply
    215,408.16x = 297,248.94 × 119,912.40
  4. Step 4: Simplify right side
    215,408.16x = 35,643,833,792.86
  5. Step 5: Solve for x
    x = 35,643,833,792.86/215,408.16
  6. Step 6: Final answer
    x = 165,471.14

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1.5x scale

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.