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Finding the Fourth Proportional to 565,313.46, 780,255.61 and 347,709.15

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Solution

The fourth proportional to 565,313.46, 780,255.61 and 347,709.15 is: 479,914.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,313.46 : 780,255.61 = 347,709.15 : x
  2. Step 2: Convert to fraction form
    565,313.46/780,255.61 = 347,709.15/x
  3. Step 3: Cross multiply
    565,313.46x = 780,255.61 × 347,709.15
  4. Step 4: Simplify right side
    565,313.46x = 271,302,014,066.56
  5. Step 5: Solve for x
    x = 271,302,014,066.56/565,313.46
  6. Step 6: Final answer
    x = 479,914.30

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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.