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Finding the Fourth Proportional to 565,388.85, 780,227.56 and 310,734.57

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Solution

The fourth proportional to 565,388.85, 780,227.56 and 310,734.57 is: 428,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,388.85 : 780,227.56 = 310,734.57 : x
  2. Step 2: Convert to fraction form
    565,388.85/780,227.56 = 310,734.57/x
  3. Step 3: Cross multiply
    565,388.85x = 780,227.56 × 310,734.57
  4. Step 4: Simplify right side
    565,388.85x = 242,443,674,581.91
  5. Step 5: Solve for x
    x = 242,443,674,581.91/565,388.85
  6. Step 6: Final answer
    x = 428,808.73

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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.