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Finding the Fourth Proportional to 644,978.40, 967,006.80 and 289,701.60

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Solution

The fourth proportional to 644,978.40, 967,006.80 and 289,701.60 is: 434,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,978.40 : 967,006.80 = 289,701.60 : x
  2. Step 2: Convert to fraction form
    644,978.40/967,006.80 = 289,701.60/x
  3. Step 3: Cross multiply
    644,978.40x = 967,006.80 × 289,701.60
  4. Step 4: Simplify right side
    644,978.40x = 280,143,417,170.88
  5. Step 5: Solve for x
    x = 280,143,417,170.88/644,978.40
  6. Step 6: Final answer
    x = 434,345.42

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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.