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Finding the Fourth Proportional to 512,998.65, 707,840.69 and 321,925.93

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Solution

The fourth proportional to 512,998.65, 707,840.69 and 321,925.93 is: 444,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998.65 : 707,840.69 = 321,925.93 : x
  2. Step 2: Convert to fraction form
    512,998.65/707,840.69 = 321,925.93/x
  3. Step 3: Cross multiply
    512,998.65x = 707,840.69 × 321,925.93
  4. Step 4: Simplify right side
    512,998.65x = 227,872,269,040.86
  5. Step 5: Solve for x
    x = 227,872,269,040.86/512,998.65
  6. Step 6: Final answer
    x = 444,196.63

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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.