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Finding the Fourth Proportional to 526,920.68, 790,379.82 and 407,151.78

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Solution

The fourth proportional to 526,920.68, 790,379.82 and 407,151.78 is: 610,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,920.68 : 790,379.82 = 407,151.78 : x
  2. Step 2: Convert to fraction form
    526,920.68/790,379.82 = 407,151.78/x
  3. Step 3: Cross multiply
    526,920.68x = 790,379.82 × 407,151.78
  4. Step 4: Simplify right side
    526,920.68x = 321,804,550,589.08
  5. Step 5: Solve for x
    x = 321,804,550,589.08/526,920.68
  6. Step 6: Final answer
    x = 610,726.74

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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.