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Finding the Fourth Proportional to 513,729.12, 770,515.92 and 139,781.28

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Solution

The fourth proportional to 513,729.12, 770,515.92 and 139,781.28 is: 209,650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,729.12 : 770,515.92 = 139,781.28 : x
  2. Step 2: Convert to fraction form
    513,729.12/770,515.92 = 139,781.28/x
  3. Step 3: Cross multiply
    513,729.12x = 770,515.92 × 139,781.28
  4. Step 4: Simplify right side
    513,729.12x = 107,703,701,557.98
  5. Step 5: Solve for x
    x = 107,703,701,557.98/513,729.12
  6. Step 6: Final answer
    x = 209,650.76

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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.