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Finding the Fourth Proportional to 302,543.40, 453,815.10 and 196,789.80

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Solution

The fourth proportional to 302,543.40, 453,815.10 and 196,789.80 is: 295,184.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,543.40 : 453,815.10 = 196,789.80 : x
  2. Step 2: Convert to fraction form
    302,543.40/453,815.10 = 196,789.80/x
  3. Step 3: Cross multiply
    302,543.40x = 453,815.10 × 196,789.80
  4. Step 4: Simplify right side
    302,543.40x = 89,306,182,765.98
  5. Step 5: Solve for x
    x = 89,306,182,765.98/302,543.40
  6. Step 6: Final answer
    x = 295,184.70

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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.