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Finding the Fourth Proportional to 647,953.52, 971,016.92 and 306,032.48

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Solution

The fourth proportional to 647,953.52, 971,016.92 and 306,032.48 is: 458,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,953.52 : 971,016.92 = 306,032.48 : x
  2. Step 2: Convert to fraction form
    647,953.52/971,016.92 = 306,032.48/x
  3. Step 3: Cross multiply
    647,953.52x = 971,016.92 × 306,032.48
  4. Step 4: Simplify right side
    647,953.52x = 297,162,716,149.56
  5. Step 5: Solve for x
    x = 297,162,716,149.56/647,953.52
  6. Step 6: Final answer
    x = 458,617.33

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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.