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Finding the Fourth Proportional to 496,589, 745,030.38 and 286,377.80

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Solution

The fourth proportional to 496,589, 745,030.38 and 286,377.80 is: 429,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,589 : 745,030.38 = 286,377.80 : x
  2. Step 2: Convert to fraction form
    496,589/745,030.38 = 286,377.80/x
  3. Step 3: Cross multiply
    496,589x = 745,030.38 × 286,377.80
  4. Step 4: Simplify right side
    496,589x = 213,360,161,157.56
  5. Step 5: Solve for x
    x = 213,360,161,157.56/496,589
  6. Step 6: Final answer
    x = 429,651.40

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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.