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Finding the Fourth Proportional to 647,107.88, 892,745.83 and 429,419.21

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Solution

The fourth proportional to 647,107.88, 892,745.83 and 429,419.21 is: 592,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,107.88 : 892,745.83 = 429,419.21 : x
  2. Step 2: Convert to fraction form
    647,107.88/892,745.83 = 429,419.21/x
  3. Step 3: Cross multiply
    647,107.88x = 892,745.83 × 429,419.21
  4. Step 4: Simplify right side
    647,107.88x = 383,362,209,049.39
  5. Step 5: Solve for x
    x = 383,362,209,049.39/647,107.88
  6. Step 6: Final answer
    x = 592,423.95

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1.5x scale

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.