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Finding the Fourth Proportional to 513,866.39, 770,781.06 and 134,784.09

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Solution

The fourth proportional to 513,866.39, 770,781.06 and 134,784.09 is: 202,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,866.39 : 770,781.06 = 134,784.09 : x
  2. Step 2: Convert to fraction form
    513,866.39/770,781.06 = 134,784.09/x
  3. Step 3: Cross multiply
    513,866.39x = 770,781.06 × 134,784.09
  4. Step 4: Simplify right side
    513,866.39x = 103,889,023,761.34
  5. Step 5: Solve for x
    x = 103,889,023,761.34/513,866.39
  6. Step 6: Final answer
    x = 202,171.28

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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.