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Finding the Fourth Proportional to 646,851.96, 969,205.26 and 393,365.70

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Solution

The fourth proportional to 646,851.96, 969,205.26 and 393,365.70 is: 589,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,851.96 : 969,205.26 = 393,365.70 : x
  2. Step 2: Convert to fraction form
    646,851.96/969,205.26 = 393,365.70/x
  3. Step 3: Cross multiply
    646,851.96x = 969,205.26 × 393,365.70
  4. Step 4: Simplify right side
    646,851.96x = 381,252,105,543.58
  5. Step 5: Solve for x
    x = 381,252,105,543.58/646,851.96
  6. Step 6: Final answer
    x = 589,396.23

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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.