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Finding the Fourth Proportional to 341,887.90, 512,554.38 and 142,357.56

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Solution

The fourth proportional to 341,887.90, 512,554.38 and 142,357.56 is: 213,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,887.90 : 512,554.38 = 142,357.56 : x
  2. Step 2: Convert to fraction form
    341,887.90/512,554.38 = 142,357.56/x
  3. Step 3: Cross multiply
    341,887.90x = 512,554.38 × 142,357.56
  4. Step 4: Simplify right side
    341,887.90x = 72,965,990,904.11
  5. Step 5: Solve for x
    x = 72,965,990,904.11/341,887.90
  6. Step 6: Final answer
    x = 213,420.81

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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.