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Finding the Fourth Proportional to 289,282.86, 399,162.74 and 181,776.69

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Solution

The fourth proportional to 289,282.86, 399,162.74 and 181,776.69 is: 250,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,282.86 : 399,162.74 = 181,776.69 : x
  2. Step 2: Convert to fraction form
    289,282.86/399,162.74 = 181,776.69/x
  3. Step 3: Cross multiply
    289,282.86x = 399,162.74 × 181,776.69
  4. Step 4: Simplify right side
    289,282.86x = 72,558,480,739.65
  5. Step 5: Solve for x
    x = 72,558,480,739.65/289,282.86
  6. Step 6: Final answer
    x = 250,821.91

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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.