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Finding the Fourth Proportional to 513,313.98, 769,713.96 and 158,281.86

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Solution

The fourth proportional to 513,313.98, 769,713.96 and 158,281.86 is: 237,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,313.98 : 769,713.96 = 158,281.86 : x
  2. Step 2: Convert to fraction form
    513,313.98/769,713.96 = 158,281.86/x
  3. Step 3: Cross multiply
    513,313.98x = 769,713.96 × 158,281.86
  4. Step 4: Simplify right side
    513,313.98x = 121,831,757,256.77
  5. Step 5: Solve for x
    x = 121,831,757,256.77/513,313.98
  6. Step 6: Final answer
    x = 237,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.