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Finding the Fourth Proportional to 513,203.12, 769,713.96 and 139,255.28

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Solution

The fourth proportional to 513,203.12, 769,713.96 and 139,255.28 is: 208,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,203.12 : 769,713.96 = 139,255.28 : x
  2. Step 2: Convert to fraction form
    513,203.12/769,713.96 = 139,255.28/x
  3. Step 3: Cross multiply
    513,203.12x = 769,713.96 × 139,255.28
  4. Step 4: Simplify right side
    513,203.12x = 107,186,733,019.71
  5. Step 5: Solve for x
    x = 107,186,733,019.71/513,203.12
  6. Step 6: Final answer
    x = 208,858.30

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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.