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Finding the Fourth Proportional to 647,573.51, 971,362.62 and 198,292.56

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Solution

The fourth proportional to 647,573.51, 971,362.62 and 198,292.56 is: 297,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,573.51 : 971,362.62 = 198,292.56 : x
  2. Step 2: Convert to fraction form
    647,573.51/971,362.62 = 198,292.56/x
  3. Step 3: Cross multiply
    647,573.51x = 971,362.62 × 198,292.56
  4. Step 4: Simplify right side
    647,573.51x = 192,613,976,686.65
  5. Step 5: Solve for x
    x = 192,613,976,686.65/647,573.51
  6. Step 6: Final answer
    x = 297,439.56

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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.