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Finding the Fourth Proportional to 646,761, 969,405.80 and 393,483.19

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Solution

The fourth proportional to 646,761, 969,405.80 and 393,483.19 is: 589,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,761 : 969,405.80 = 393,483.19 : x
  2. Step 2: Convert to fraction form
    646,761/969,405.80 = 393,483.19/x
  3. Step 3: Cross multiply
    646,761x = 969,405.80 × 393,483.19
  4. Step 4: Simplify right side
    646,761x = 381,444,885,148.70
  5. Step 5: Solve for x
    x = 381,444,885,148.70/646,761
  6. Step 6: Final answer
    x = 589,777.19

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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.