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Finding the Fourth Proportional to 647,939.60, 971,969.88 and 243,023.84

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Solution

The fourth proportional to 647,939.60, 971,969.88 and 243,023.84 is: 364,558.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,939.60 : 971,969.88 = 243,023.84 : x
  2. Step 2: Convert to fraction form
    647,939.60/971,969.88 = 243,023.84/x
  3. Step 3: Cross multiply
    647,939.60x = 971,969.88 × 243,023.84
  4. Step 4: Simplify right side
    647,939.60x = 236,211,852,601.94
  5. Step 5: Solve for x
    x = 236,211,852,601.94/647,939.60
  6. Step 6: Final answer
    x = 364,558.44

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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.