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Finding the Fourth Proportional to 565,790.99, 780,767.78 and 320,792.22

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Solution

The fourth proportional to 565,790.99, 780,767.78 and 320,792.22 is: 442,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,790.99 : 780,767.78 = 320,792.22 : x
  2. Step 2: Convert to fraction form
    565,790.99/780,767.78 = 320,792.22/x
  3. Step 3: Cross multiply
    565,790.99x = 780,767.78 × 320,792.22
  4. Step 4: Simplify right side
    565,790.99x = 250,464,227,846.71
  5. Step 5: Solve for x
    x = 250,464,227,846.71/565,790.99
  6. Step 6: Final answer
    x = 442,679.78

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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.