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Finding the Fourth Proportional to 478,863.68, 718,216.83 and 194,542.74

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Solution

The fourth proportional to 478,863.68, 718,216.83 and 194,542.74 is: 291,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,863.68 : 718,216.83 = 194,542.74 : x
  2. Step 2: Convert to fraction form
    478,863.68/718,216.83 = 194,542.74/x
  3. Step 3: Cross multiply
    478,863.68x = 718,216.83 × 194,542.74
  4. Step 4: Simplify right side
    478,863.68x = 139,723,870,022.31
  5. Step 5: Solve for x
    x = 139,723,870,022.31/478,863.68
  6. Step 6: Final answer
    x = 291,782.14

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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.