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Finding the Fourth Proportional to 296,198.40, 443,606.40 and 290,259.20

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Solution

The fourth proportional to 296,198.40, 443,606.40 and 290,259.20 is: 434,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,198.40 : 443,606.40 = 290,259.20 : x
  2. Step 2: Convert to fraction form
    296,198.40/443,606.40 = 290,259.20/x
  3. Step 3: Cross multiply
    296,198.40x = 443,606.40 × 290,259.20
  4. Step 4: Simplify right side
    296,198.40x = 128,760,838,778.88
  5. Step 5: Solve for x
    x = 128,760,838,778.88/296,198.40
  6. Step 6: Final answer
    x = 434,711.46

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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.