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Finding the Fourth Proportional to 478,278.68, 717,455.07 and 193,833.81

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Solution

The fourth proportional to 478,278.68, 717,455.07 and 193,833.81 is: 290,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,278.68 : 717,455.07 = 193,833.81 : x
  2. Step 2: Convert to fraction form
    478,278.68/717,455.07 = 193,833.81/x
  3. Step 3: Cross multiply
    478,278.68x = 717,455.07 × 193,833.81
  4. Step 4: Simplify right side
    478,278.68x = 139,067,049,721.92
  5. Step 5: Solve for x
    x = 139,067,049,721.92/478,278.68
  6. Step 6: Final answer
    x = 290,765.73

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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.