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Finding the Fourth Proportional to 646,891.86, 969,265.02 and 393,405.60

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Solution

The fourth proportional to 646,891.86, 969,265.02 and 393,405.60 is: 589,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,891.86 : 969,265.02 = 393,405.60 : x
  2. Step 2: Convert to fraction form
    646,891.86/969,265.02 = 393,405.60/x
  3. Step 3: Cross multiply
    646,891.86x = 969,265.02 × 393,405.60
  4. Step 4: Simplify right side
    646,891.86x = 381,314,286,752.11
  5. Step 5: Solve for x
    x = 381,314,286,752.11/646,891.86
  6. Step 6: Final answer
    x = 589,456.00

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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.