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Finding the Fourth Proportional to 647,280.69, 970,886.10 and 198,001.61

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Solution

The fourth proportional to 647,280.69, 970,886.10 and 198,001.61 is: 296,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,280.69 : 970,886.10 = 198,001.61 : x
  2. Step 2: Convert to fraction form
    647,280.69/970,886.10 = 198,001.61/x
  3. Step 3: Cross multiply
    647,280.69x = 970,886.10 × 198,001.61
  4. Step 4: Simplify right side
    647,280.69x = 192,237,008,784.88
  5. Step 5: Solve for x
    x = 192,237,008,784.88/647,280.69
  6. Step 6: Final answer
    x = 296,991.72

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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.