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Finding the Fourth Proportional to 315,127.68, 434,893.92 and 171,890.12

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Solution

The fourth proportional to 315,127.68, 434,893.92 and 171,890.12 is: 237,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,127.68 : 434,893.92 = 171,890.12 : x
  2. Step 2: Convert to fraction form
    315,127.68/434,893.92 = 171,890.12/x
  3. Step 3: Cross multiply
    315,127.68x = 434,893.92 × 171,890.12
  4. Step 4: Simplify right side
    315,127.68x = 74,753,968,096.07
  5. Step 5: Solve for x
    x = 74,753,968,096.07/315,127.68
  6. Step 6: Final answer
    x = 237,218.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.