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Finding the Fourth Proportional to 200,004.20, 299,228.70 and 130,020.20

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Solution

The fourth proportional to 200,004.20, 299,228.70 and 130,020.20 is: 194,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.20 : 299,228.70 = 130,020.20 : x
  2. Step 2: Convert to fraction form
    200,004.20/299,228.70 = 130,020.20/x
  3. Step 3: Cross multiply
    200,004.20x = 299,228.70 × 130,020.20
  4. Step 4: Simplify right side
    200,004.20x = 38,905,775,419.74
  5. Step 5: Solve for x
    x = 38,905,775,419.74/200,004.20
  6. Step 6: Final answer
    x = 194,524.79

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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.