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Finding the Fourth Proportional to 651,959.40, 978,111.90 and 231,191.40

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Solution

The fourth proportional to 651,959.40, 978,111.90 and 231,191.40 is: 346,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,959.40 : 978,111.90 = 231,191.40 : x
  2. Step 2: Convert to fraction form
    651,959.40/978,111.90 = 231,191.40/x
  3. Step 3: Cross multiply
    651,959.40x = 978,111.90 × 231,191.40
  4. Step 4: Simplify right side
    651,959.40x = 226,131,059,517.66
  5. Step 5: Solve for x
    x = 226,131,059,517.66/651,959.40
  6. Step 6: Final answer
    x = 346,848.38

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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.