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Finding the Fourth Proportional to 647,098.28, 970,649.98 and 197,817.48

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Solution

The fourth proportional to 647,098.28, 970,649.98 and 197,817.48 is: 296,727.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,098.28 : 970,649.98 = 197,817.48 : x
  2. Step 2: Convert to fraction form
    647,098.28/970,649.98 = 197,817.48/x
  3. Step 3: Cross multiply
    647,098.28x = 970,649.98 × 197,817.48
  4. Step 4: Simplify right side
    647,098.28x = 192,011,533,005.65
  5. Step 5: Solve for x
    x = 192,011,533,005.65/647,098.28
  6. Step 6: Final answer
    x = 296,727.00

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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.