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Finding the Fourth Proportional to 644,492.80, 966,739.20 and 408,102.40

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Solution

The fourth proportional to 644,492.80, 966,739.20 and 408,102.40 is: 612,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,492.80 : 966,739.20 = 408,102.40 : x
  2. Step 2: Convert to fraction form
    644,492.80/966,739.20 = 408,102.40/x
  3. Step 3: Cross multiply
    644,492.80x = 966,739.20 × 408,102.40
  4. Step 4: Simplify right side
    644,492.80x = 394,528,587,694.08
  5. Step 5: Solve for x
    x = 394,528,587,694.08/644,492.80
  6. Step 6: Final answer
    x = 612,153.60

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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.