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Finding the Fourth Proportional to 220,507.80, 304,292.34 and 119,905.80

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Solution

The fourth proportional to 220,507.80, 304,292.34 and 119,905.80 is: 165,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,507.80 : 304,292.34 = 119,905.80 : x
  2. Step 2: Convert to fraction form
    220,507.80/304,292.34 = 119,905.80/x
  3. Step 3: Cross multiply
    220,507.80x = 304,292.34 × 119,905.80
  4. Step 4: Simplify right side
    220,507.80x = 36,486,416,461.57
  5. Step 5: Solve for x
    x = 36,486,416,461.57/220,507.80
  6. Step 6: Final answer
    x = 165,465.42

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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.