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Finding the Fourth Proportional to 646,496.52, 969,891.66 and 197,257.56

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Solution

The fourth proportional to 646,496.52, 969,891.66 and 197,257.56 is: 295,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,496.52 : 969,891.66 = 197,257.56 : x
  2. Step 2: Convert to fraction form
    646,496.52/969,891.66 = 197,257.56/x
  3. Step 3: Cross multiply
    646,496.52x = 969,891.66 × 197,257.56
  4. Step 4: Simplify right side
    646,496.52x = 191,318,462,315.95
  5. Step 5: Solve for x
    x = 191,318,462,315.95/646,496.52
  6. Step 6: Final answer
    x = 295,931.16

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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.