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Finding the Fourth Proportional to 647,731.72, 893,871.36 and 361,270.36

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Solution

The fourth proportional to 647,731.72, 893,871.36 and 361,270.36 is: 498,553.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,731.72 : 893,871.36 = 361,270.36 : x
  2. Step 2: Convert to fraction form
    647,731.72/893,871.36 = 361,270.36/x
  3. Step 3: Cross multiply
    647,731.72x = 893,871.36 × 361,270.36
  4. Step 4: Simplify right side
    647,731.72x = 322,929,228,020.89
  5. Step 5: Solve for x
    x = 322,929,228,020.89/647,731.72
  6. Step 6: Final answer
    x = 498,553.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.