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Finding the Fourth Proportional to 489,937,487.80, 734,906,231.70 and 423,424,694.20

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Solution

The fourth proportional to 489,937,487.80, 734,906,231.70 and 423,424,694.20 is: 635,137,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,937,487.80 : 734,906,231.70 = 423,424,694.20 : x
  2. Step 2: Convert to fraction form
    489,937,487.80/734,906,231.70 = 423,424,694.20/x
  3. Step 3: Cross multiply
    489,937,487.80x = 734,906,231.70 × 423,424,694.20
  4. Step 4: Simplify right side
    489,937,487.80x = 311,177,446,423,246,848
  5. Step 5: Solve for x
    x = 311,177,446,423,246,848/489,937,487.80
  6. Step 6: Final answer
    x = 635,137,041.30

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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.