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Finding the Fourth Proportional to 647,088.36, 970,635 and 197,807.48

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Solution

The fourth proportional to 647,088.36, 970,635 and 197,807.48 is: 296,711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,088.36 : 970,635 = 197,807.48 : x
  2. Step 2: Convert to fraction form
    647,088.36/970,635 = 197,807.48/x
  3. Step 3: Cross multiply
    647,088.36x = 970,635 × 197,807.48
  4. Step 4: Simplify right side
    647,088.36x = 191,998,863,349.80
  5. Step 5: Solve for x
    x = 191,998,863,349.80/647,088.36
  6. Step 6: Final answer
    x = 296,711.97

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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.