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Finding the Fourth Proportional to 647,846.08, 971,768.88 and 332,101.60

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Solution

The fourth proportional to 647,846.08, 971,768.88 and 332,101.60 is: 498,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,846.08 : 971,768.88 = 332,101.60 : x
  2. Step 2: Convert to fraction form
    647,846.08/971,768.88 = 332,101.60/x
  3. Step 3: Cross multiply
    647,846.08x = 971,768.88 × 332,101.60
  4. Step 4: Simplify right side
    647,846.08x = 322,725,999,878.21
  5. Step 5: Solve for x
    x = 322,725,999,878.21/647,846.08
  6. Step 6: Final answer
    x = 498,152.28

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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.