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Finding the Fourth Proportional to 647,756.80, 893,905.67 and 361,295.44

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Solution

The fourth proportional to 647,756.80, 893,905.67 and 361,295.44 is: 498,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,756.80 : 893,905.67 = 361,295.44 : x
  2. Step 2: Convert to fraction form
    647,756.80/893,905.67 = 361,295.44/x
  3. Step 3: Cross multiply
    647,756.80x = 893,905.67 × 361,295.44
  4. Step 4: Simplify right side
    647,756.80x = 322,964,041,029.62
  5. Step 5: Solve for x
    x = 322,964,041,029.62/647,756.80
  6. Step 6: Final answer
    x = 498,588.42

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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.