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Finding the Fourth Proportional to 208,886.20, 313,329.30 and 205,430.20

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Solution

The fourth proportional to 208,886.20, 313,329.30 and 205,430.20 is: 308,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,886.20 : 313,329.30 = 205,430.20 : x
  2. Step 2: Convert to fraction form
    208,886.20/313,329.30 = 205,430.20/x
  3. Step 3: Cross multiply
    208,886.20x = 313,329.30 × 205,430.20
  4. Step 4: Simplify right side
    208,886.20x = 64,367,300,764.86
  5. Step 5: Solve for x
    x = 64,367,300,764.86/208,886.20
  6. Step 6: Final answer
    x = 308,145.30

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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.