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Finding the Fourth Proportional to 220,808.25, 304,715.79 and 120,206.25

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Solution

The fourth proportional to 220,808.25, 304,715.79 and 120,206.25 is: 165,884.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,808.25 : 304,715.79 = 120,206.25 : x
  2. Step 2: Convert to fraction form
    220,808.25/304,715.79 = 120,206.25/x
  3. Step 3: Cross multiply
    220,808.25x = 304,715.79 × 120,206.25
  4. Step 4: Simplify right side
    220,808.25x = 36,628,742,431.69
  5. Step 5: Solve for x
    x = 36,628,742,431.69/220,808.25
  6. Step 6: Final answer
    x = 165,884.85

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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.