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Finding the Fourth Proportional to 358,879.20, 537,654.60 and 209,191.20

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Solution

The fourth proportional to 358,879.20, 537,654.60 and 209,191.20 is: 313,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,879.20 : 537,654.60 = 209,191.20 : x
  2. Step 2: Convert to fraction form
    358,879.20/537,654.60 = 209,191.20/x
  3. Step 3: Cross multiply
    358,879.20x = 537,654.60 × 209,191.20
  4. Step 4: Simplify right side
    358,879.20x = 112,472,610,959.52
  5. Step 5: Solve for x
    x = 112,472,610,959.52/358,879.20
  6. Step 6: Final answer
    x = 313,399.64

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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.