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Finding the Fourth Proportional to 3,164,902.71, 4,747,354.13 and 768,731.20

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Solution

The fourth proportional to 3,164,902.71, 4,747,354.13 and 768,731.20 is: 1,153,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164,902.71 : 4,747,354.13 = 768,731.20 : x
  2. Step 2: Convert to fraction form
    3,164,902.71/4,747,354.13 = 768,731.20/x
  3. Step 3: Cross multiply
    3,164,902.71x = 4,747,354.13 × 768,731.20
  4. Step 4: Simplify right side
    3,164,902.71x = 3,649,439,222,909.19
  5. Step 5: Solve for x
    x = 3,649,439,222,909.19/3,164,902.71
  6. Step 6: Final answer
    x = 1,153,096.81

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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.