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Finding the Fourth Proportional to 646,764, 969,410.31 and 393,486.18

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Solution

The fourth proportional to 646,764, 969,410.31 and 393,486.18 is: 589,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,764 : 969,410.31 = 393,486.18 : x
  2. Step 2: Convert to fraction form
    646,764/969,410.31 = 393,486.18/x
  3. Step 3: Cross multiply
    646,764x = 969,410.31 × 393,486.18
  4. Step 4: Simplify right side
    646,764x = 381,449,559,734.52
  5. Step 5: Solve for x
    x = 381,449,559,734.52/646,764
  6. Step 6: Final answer
    x = 589,781.68

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1.5x scale

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.