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Finding the Fourth Proportional to 489,392,057.80, 734,088,086.70 and 343,989,800.20

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Solution

The fourth proportional to 489,392,057.80, 734,088,086.70 and 343,989,800.20 is: 515,984,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,392,057.80 : 734,088,086.70 = 343,989,800.20 : x
  2. Step 2: Convert to fraction form
    489,392,057.80/734,088,086.70 = 343,989,800.20/x
  3. Step 3: Cross multiply
    489,392,057.80x = 734,088,086.70 × 343,989,800.20
  4. Step 4: Simplify right side
    489,392,057.80x = 252,518,814,273,133,280
  5. Step 5: Solve for x
    x = 252,518,814,273,133,280/489,392,057.80
  6. Step 6: Final answer
    x = 515,984,700.30

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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.