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Finding the Fourth Proportional to 215,963.96, 298,043.98 and 120,470.46

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Solution

The fourth proportional to 215,963.96, 298,043.98 and 120,470.46 is: 166,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,963.96 : 298,043.98 = 120,470.46 : x
  2. Step 2: Convert to fraction form
    215,963.96/298,043.98 = 120,470.46/x
  3. Step 3: Cross multiply
    215,963.96x = 298,043.98 × 120,470.46
  4. Step 4: Simplify right side
    215,963.96x = 35,905,495,370.83
  5. Step 5: Solve for x
    x = 35,905,495,370.83/215,963.96
  6. Step 6: Final answer
    x = 166,256.89

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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.