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Finding the Fourth Proportional to 315,205.64, 434,968.62 and 171,957.14

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Solution

The fourth proportional to 315,205.64, 434,968.62 and 171,957.14 is: 237,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,205.64 : 434,968.62 = 171,957.14 : x
  2. Step 2: Convert to fraction form
    315,205.64/434,968.62 = 171,957.14/x
  3. Step 3: Cross multiply
    315,205.64x = 434,968.62 × 171,957.14
  4. Step 4: Simplify right side
    315,205.64x = 74,795,959,884.95
  5. Step 5: Solve for x
    x = 74,795,959,884.95/315,205.64
  6. Step 6: Final answer
    x = 237,292.58

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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.