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Finding the Fourth Proportional to 215,728.48, 297,723.36 and 120,222.40

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Solution

The fourth proportional to 215,728.48, 297,723.36 and 120,222.40 is: 165,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,728.48 : 297,723.36 = 120,222.40 : x
  2. Step 2: Convert to fraction form
    215,728.48/297,723.36 = 120,222.40/x
  3. Step 3: Cross multiply
    215,728.48x = 297,723.36 × 120,222.40
  4. Step 4: Simplify right side
    215,728.48x = 35,793,016,875.26
  5. Step 5: Solve for x
    x = 35,793,016,875.26/215,728.48
  6. Step 6: Final answer
    x = 165,916.98

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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.