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Finding the Fourth Proportional to 367,406.30, 550,429.05 and 209,164.70

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Solution

The fourth proportional to 367,406.30, 550,429.05 and 209,164.70 is: 313,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,406.30 : 550,429.05 = 209,164.70 : x
  2. Step 2: Convert to fraction form
    367,406.30/550,429.05 = 209,164.70/x
  3. Step 3: Cross multiply
    367,406.30x = 550,429.05 × 209,164.70
  4. Step 4: Simplify right side
    367,406.30x = 115,130,327,114.54
  5. Step 5: Solve for x
    x = 115,130,327,114.54/367,406.30
  6. Step 6: Final answer
    x = 313,359.70

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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.