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Finding the Fourth Proportional to 216,238.40, 298,404.16 and 120,754.08

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Solution

The fourth proportional to 216,238.40, 298,404.16 and 120,754.08 is: 166,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,238.40 : 298,404.16 = 120,754.08 : x
  2. Step 2: Convert to fraction form
    216,238.40/298,404.16 = 120,754.08/x
  3. Step 3: Cross multiply
    216,238.40x = 298,404.16 × 120,754.08
  4. Step 4: Simplify right side
    216,238.40x = 36,033,519,808.97
  5. Step 5: Solve for x
    x = 36,033,519,808.97/216,238.40
  6. Step 6: Final answer
    x = 166,637.93

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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.