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Finding the Fourth Proportional to 647,048.68, 969,687.24 and 410,557.48

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Solution

The fourth proportional to 647,048.68, 969,687.24 and 410,557.48 is: 615,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,048.68 : 969,687.24 = 410,557.48 : x
  2. Step 2: Convert to fraction form
    647,048.68/969,687.24 = 410,557.48/x
  3. Step 3: Cross multiply
    647,048.68x = 969,687.24 × 410,557.48
  4. Step 4: Simplify right side
    647,048.68x = 398,112,349,642.56
  5. Step 5: Solve for x
    x = 398,112,349,642.56/647,048.68
  6. Step 6: Final answer
    x = 615,274.19

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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.