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Finding the Fourth Proportional to 598,846.20, 898,269.30 and 431,540.70

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Solution

The fourth proportional to 598,846.20, 898,269.30 and 431,540.70 is: 647,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,846.20 : 898,269.30 = 431,540.70 : x
  2. Step 2: Convert to fraction form
    598,846.20/898,269.30 = 431,540.70/x
  3. Step 3: Cross multiply
    598,846.20x = 898,269.30 × 431,540.70
  4. Step 4: Simplify right side
    598,846.20x = 387,639,762,510.51
  5. Step 5: Solve for x
    x = 387,639,762,510.51/598,846.20
  6. Step 6: Final answer
    x = 647,311.05

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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.