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Finding the Fourth Proportional to 429,658.02, 644,265.60 and 192,797.72

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Solution

The fourth proportional to 429,658.02, 644,265.60 and 192,797.72 is: 289,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,658.02 : 644,265.60 = 192,797.72 : x
  2. Step 2: Convert to fraction form
    429,658.02/644,265.60 = 192,797.72/x
  3. Step 3: Cross multiply
    429,658.02x = 644,265.60 × 192,797.72
  4. Step 4: Simplify right side
    429,658.02x = 124,212,937,226.11
  5. Step 5: Solve for x
    x = 124,212,937,226.11/429,658.02
  6. Step 6: Final answer
    x = 289,097.22

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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.