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Finding the Fourth Proportional to 513,796.77, 770,768.97 and 158,838.47

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Solution

The fourth proportional to 513,796.77, 770,768.97 and 158,838.47 is: 238,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,796.77 : 770,768.97 = 158,838.47 : x
  2. Step 2: Convert to fraction form
    513,796.77/770,768.97 = 158,838.47/x
  3. Step 3: Cross multiply
    513,796.77x = 770,768.97 × 158,838.47
  4. Step 4: Simplify right side
    513,796.77x = 122,427,762,359.17
  5. Step 5: Solve for x
    x = 122,427,762,359.17/513,796.77
  6. Step 6: Final answer
    x = 238,280.52

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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.