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Finding the Fourth Proportional to 429,131.72, 644,121.30 and 322,143.68

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Solution

The fourth proportional to 429,131.72, 644,121.30 and 322,143.68 is: 483,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,131.72 : 644,121.30 = 322,143.68 : x
  2. Step 2: Convert to fraction form
    429,131.72/644,121.30 = 322,143.68/x
  3. Step 3: Cross multiply
    429,131.72x = 644,121.30 × 322,143.68
  4. Step 4: Simplify right side
    429,131.72x = 207,499,603,935.82
  5. Step 5: Solve for x
    x = 207,499,603,935.82/429,131.72
  6. Step 6: Final answer
    x = 483,533.60

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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.