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Finding the Fourth Proportional to 647,778.63, 971,632.92 and 198,500.79

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Solution

The fourth proportional to 647,778.63, 971,632.92 and 198,500.79 is: 297,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,778.63 : 971,632.92 = 198,500.79 : x
  2. Step 2: Convert to fraction form
    647,778.63/971,632.92 = 198,500.79/x
  3. Step 3: Cross multiply
    647,778.63x = 971,632.92 × 198,500.79
  4. Step 4: Simplify right side
    647,778.63x = 192,869,902,210.01
  5. Step 5: Solve for x
    x = 192,869,902,210.01/647,778.63
  6. Step 6: Final answer
    x = 297,740.45

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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.