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Finding the Fourth Proportional to 647,042.77, 970,564.20 and 197,764.93

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Solution

The fourth proportional to 647,042.77, 970,564.20 and 197,764.93 is: 296,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,042.77 : 970,564.20 = 197,764.93 : x
  2. Step 2: Convert to fraction form
    647,042.77/970,564.20 = 197,764.93/x
  3. Step 3: Cross multiply
    647,042.77x = 970,564.20 × 197,764.93
  4. Step 4: Simplify right side
    647,042.77x = 191,943,561,073.51
  5. Step 5: Solve for x
    x = 191,943,561,073.51/647,042.77
  6. Step 6: Final answer
    x = 296,647.41

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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.