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Finding the Fourth Proportional to 220,858.50, 304,784.73 and 120,256.50

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Solution

The fourth proportional to 220,858.50, 304,784.73 and 120,256.50 is: 165,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,858.50 : 304,784.73 = 120,256.50 : x
  2. Step 2: Convert to fraction form
    220,858.50/304,784.73 = 120,256.50/x
  3. Step 3: Cross multiply
    220,858.50x = 304,784.73 × 120,256.50
  4. Step 4: Simplify right side
    220,858.50x = 36,652,344,883.25
  5. Step 5: Solve for x
    x = 36,652,344,883.25/220,858.50
  6. Step 6: Final answer
    x = 165,953.97

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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.