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Finding the Fourth Proportional to 565,489.68, 780,115.67 and 501,024.69

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Solution

The fourth proportional to 565,489.68, 780,115.67 and 501,024.69 is: 691,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,489.68 : 780,115.67 = 501,024.69 : x
  2. Step 2: Convert to fraction form
    565,489.68/780,115.67 = 501,024.69/x
  3. Step 3: Cross multiply
    565,489.68x = 780,115.67 × 501,024.69
  4. Step 4: Simplify right side
    565,489.68x = 390,857,207,825.31
  5. Step 5: Solve for x
    x = 390,857,207,825.31/565,489.68
  6. Step 6: Final answer
    x = 691,183.63

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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.