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Finding the Fourth Proportional to 644,429.60, 966,352.80 and 289,260.80

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Solution

The fourth proportional to 644,429.60, 966,352.80 and 289,260.80 is: 433,760.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,429.60 : 966,352.80 = 289,260.80 : x
  2. Step 2: Convert to fraction form
    644,429.60/966,352.80 = 289,260.80/x
  3. Step 3: Cross multiply
    644,429.60x = 966,352.80 × 289,260.80
  4. Step 4: Simplify right side
    644,429.60x = 279,527,984,010.24
  5. Step 5: Solve for x
    x = 279,527,984,010.24/644,429.60
  6. Step 6: Final answer
    x = 433,760.31

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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.