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Finding the Fourth Proportional to 341,858.48, 512,971.32 and 142,316.60

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Solution

The fourth proportional to 341,858.48, 512,971.32 and 142,316.60 is: 213,551.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,858.48 : 512,971.32 = 142,316.60 : x
  2. Step 2: Convert to fraction form
    341,858.48/512,971.32 = 142,316.60/x
  3. Step 3: Cross multiply
    341,858.48x = 512,971.32 × 142,316.60
  4. Step 4: Simplify right side
    341,858.48x = 73,004,334,159.91
  5. Step 5: Solve for x
    x = 73,004,334,159.91/341,858.48
  6. Step 6: Final answer
    x = 213,551.33

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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.