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Finding the Fourth Proportional to 214,910.40, 322,288.80 and 96,638.40

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Solution

The fourth proportional to 214,910.40, 322,288.80 and 96,638.40 is: 144,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,910.40 : 322,288.80 = 96,638.40 : x
  2. Step 2: Convert to fraction form
    214,910.40/322,288.80 = 96,638.40/x
  3. Step 3: Cross multiply
    214,910.40x = 322,288.80 × 96,638.40
  4. Step 4: Simplify right side
    214,910.40x = 31,145,473,969.92
  5. Step 5: Solve for x
    x = 31,145,473,969.92/214,910.40
  6. Step 6: Final answer
    x = 144,923.07

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1.5x scale

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.