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Finding the Fourth Proportional to 289,181.93, 399,062.84 and 168,320.61

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Solution

The fourth proportional to 289,181.93, 399,062.84 and 168,320.61 is: 232,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,181.93 : 399,062.84 = 168,320.61 : x
  2. Step 2: Convert to fraction form
    289,181.93/399,062.84 = 168,320.61/x
  3. Step 3: Cross multiply
    289,181.93x = 399,062.84 × 168,320.61
  4. Step 4: Simplify right side
    289,181.93x = 67,170,499,815.53
  5. Step 5: Solve for x
    x = 67,170,499,815.53/289,181.93
  6. Step 6: Final answer
    x = 232,277.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.