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Finding the Fourth Proportional to 647,357.34, 970,995.34 and 198,042.51

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Solution

The fourth proportional to 647,357.34, 970,995.34 and 198,042.51 is: 297,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,357.34 : 970,995.34 = 198,042.51 : x
  2. Step 2: Convert to fraction form
    647,357.34/970,995.34 = 198,042.51/x
  3. Step 3: Cross multiply
    647,357.34x = 970,995.34 × 198,042.51
  4. Step 4: Simplify right side
    647,357.34x = 192,298,358,220.69
  5. Step 5: Solve for x
    x = 192,298,358,220.69/647,357.34
  6. Step 6: Final answer
    x = 297,051.33

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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.