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Finding the Fourth Proportional to 293,165.80, 439,748.70 and 198,687.40

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Solution

The fourth proportional to 293,165.80, 439,748.70 and 198,687.40 is: 298,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,165.80 : 439,748.70 = 198,687.40 : x
  2. Step 2: Convert to fraction form
    293,165.80/439,748.70 = 198,687.40/x
  3. Step 3: Cross multiply
    293,165.80x = 439,748.70 × 198,687.40
  4. Step 4: Simplify right side
    293,165.80x = 87,372,525,856.38
  5. Step 5: Solve for x
    x = 87,372,525,856.38/293,165.80
  6. Step 6: Final answer
    x = 298,031.10

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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.