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Finding the Fourth Proportional to 379,433.74, 569,172.89 and 142,778.47

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Solution

The fourth proportional to 379,433.74, 569,172.89 and 142,778.47 is: 214,176.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,433.74 : 569,172.89 = 142,778.47 : x
  2. Step 2: Convert to fraction form
    379,433.74/569,172.89 = 142,778.47/x
  3. Step 3: Cross multiply
    379,433.74x = 569,172.89 × 142,778.47
  4. Step 4: Simplify right side
    379,433.74x = 81,265,634,399.68
  5. Step 5: Solve for x
    x = 81,265,634,399.68/379,433.74
  6. Step 6: Final answer
    x = 214,176.09

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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.