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Finding the Fourth Proportional to 647,584.64, 971,493.84 and 292,765.76

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Solution

The fourth proportional to 647,584.64, 971,493.84 and 292,765.76 is: 439,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,584.64 : 971,493.84 = 292,765.76 : x
  2. Step 2: Convert to fraction form
    647,584.64/971,493.84 = 292,765.76/x
  3. Step 3: Cross multiply
    647,584.64x = 971,493.84 × 292,765.76
  4. Step 4: Simplify right side
    647,584.64x = 284,420,132,402.92
  5. Step 5: Solve for x
    x = 284,420,132,402.92/647,584.64
  6. Step 6: Final answer
    x = 439,201.48

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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.