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Finding the Fourth Proportional to 644,889.78, 967,356.35 and 289,904.98

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Solution

The fourth proportional to 644,889.78, 967,356.35 and 289,904.98 is: 434,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,889.78 : 967,356.35 = 289,904.98 : x
  2. Step 2: Convert to fraction form
    644,889.78/967,356.35 = 289,904.98/x
  3. Step 3: Cross multiply
    644,889.78x = 967,356.35 × 289,904.98
  4. Step 4: Simplify right side
    644,889.78x = 280,441,423,299.62
  5. Step 5: Solve for x
    x = 280,441,423,299.62/644,889.78
  6. Step 6: Final answer
    x = 434,867.22

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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.