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Finding the Fourth Proportional to 565,773.03, 780,767.01 and 311,124.21

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Solution

The fourth proportional to 565,773.03, 780,767.01 and 311,124.21 is: 429,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,773.03 : 780,767.01 = 311,124.21 : x
  2. Step 2: Convert to fraction form
    565,773.03/780,767.01 = 311,124.21/x
  3. Step 3: Cross multiply
    565,773.03x = 780,767.01 × 311,124.21
  4. Step 4: Simplify right side
    565,773.03x = 242,915,519,180.31
  5. Step 5: Solve for x
    x = 242,915,519,180.31/565,773.03
  6. Step 6: Final answer
    x = 429,351.54

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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.