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Finding the Fourth Proportional to 367,359.30, 550,358.55 and 209,117.70

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Solution

The fourth proportional to 367,359.30, 550,358.55 and 209,117.70 is: 313,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,359.30 : 550,358.55 = 209,117.70 : x
  2. Step 2: Convert to fraction form
    367,359.30/550,358.55 = 209,117.70/x
  3. Step 3: Cross multiply
    367,359.30x = 550,358.55 × 209,117.70
  4. Step 4: Simplify right side
    367,359.30x = 115,089,714,151.34
  5. Step 5: Solve for x
    x = 115,089,714,151.34/367,359.30
  6. Step 6: Final answer
    x = 313,289.24

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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.