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Finding the Fourth Proportional to 429,760.40, 645,329.10 and 341,745.80

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Solution

The fourth proportional to 429,760.40, 645,329.10 and 341,745.80 is: 513,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,760.40 : 645,329.10 = 341,745.80 : x
  2. Step 2: Convert to fraction form
    429,760.40/645,329.10 = 341,745.80/x
  3. Step 3: Cross multiply
    429,760.40x = 645,329.10 × 341,745.80
  4. Step 4: Simplify right side
    429,760.40x = 220,538,509,542.78
  5. Step 5: Solve for x
    x = 220,538,509,542.78/429,760.40
  6. Step 6: Final answer
    x = 513,166.20

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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.