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Finding the Fourth Proportional to 429,406.55, 644,288.12 and 216,060.54

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Solution

The fourth proportional to 429,406.55, 644,288.12 and 216,060.54 is: 324,180.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,406.55 : 644,288.12 = 216,060.54 : x
  2. Step 2: Convert to fraction form
    429,406.55/644,288.12 = 216,060.54/x
  3. Step 3: Cross multiply
    429,406.55x = 644,288.12 × 216,060.54
  4. Step 4: Simplify right side
    429,406.55x = 139,205,238,042.48
  5. Step 5: Solve for x
    x = 139,205,238,042.48/429,406.55
  6. Step 6: Final answer
    x = 324,180.52

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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.