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Finding the Fourth Proportional to 208,042.20, 312,063.30 and 194,920.20

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Solution

The fourth proportional to 208,042.20, 312,063.30 and 194,920.20 is: 292,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042.20 : 312,063.30 = 194,920.20 : x
  2. Step 2: Convert to fraction form
    208,042.20/312,063.30 = 194,920.20/x
  3. Step 3: Cross multiply
    208,042.20x = 312,063.30 × 194,920.20
  4. Step 4: Simplify right side
    208,042.20x = 60,827,440,848.66
  5. Step 5: Solve for x
    x = 60,827,440,848.66/208,042.20
  6. Step 6: Final answer
    x = 292,380.30

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1.5x scale

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.