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Finding the Fourth Proportional to 366,978.70, 550,468.05 and 209,514.70

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Solution

The fourth proportional to 366,978.70, 550,468.05 and 209,514.70 is: 314,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978.70 : 550,468.05 = 209,514.70 : x
  2. Step 2: Convert to fraction form
    366,978.70/550,468.05 = 209,514.70/x
  3. Step 3: Cross multiply
    366,978.70x = 550,468.05 × 209,514.70
  4. Step 4: Simplify right side
    366,978.70x = 115,331,148,355.34
  5. Step 5: Solve for x
    x = 115,331,148,355.34/366,978.70
  6. Step 6: Final answer
    x = 314,272.05

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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.