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Finding the Fourth Proportional to 341,856.48, 512,968.32 and 142,314.60

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Solution

The fourth proportional to 341,856.48, 512,968.32 and 142,314.60 is: 213,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,856.48 : 512,968.32 = 142,314.60 : x
  2. Step 2: Convert to fraction form
    341,856.48/512,968.32 = 142,314.60/x
  3. Step 3: Cross multiply
    341,856.48x = 512,968.32 × 142,314.60
  4. Step 4: Simplify right side
    341,856.48x = 73,002,881,273.47
  5. Step 5: Solve for x
    x = 73,002,881,273.47/341,856.48
  6. Step 6: Final answer
    x = 213,548.33

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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.