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Finding the Fourth Proportional to 429,728.84, 644,371.51 and 192,868.84

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Solution

The fourth proportional to 429,728.84, 644,371.51 and 192,868.84 is: 289,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,728.84 : 644,371.51 = 192,868.84 : x
  2. Step 2: Convert to fraction form
    429,728.84/644,371.51 = 192,868.84/x
  3. Step 3: Cross multiply
    429,728.84x = 644,371.51 × 192,868.84
  4. Step 4: Simplify right side
    429,728.84x = 124,279,182,440.89
  5. Step 5: Solve for x
    x = 124,279,182,440.89/429,728.84
  6. Step 6: Final answer
    x = 289,203.73

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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.