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Finding the Fourth Proportional to 315,197.16, 434,963.46 and 171,957.16

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Solution

The fourth proportional to 315,197.16, 434,963.46 and 171,957.16 is: 237,296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,197.16 : 434,963.46 = 171,957.16 : x
  2. Step 2: Convert to fraction form
    315,197.16/434,963.46 = 171,957.16/x
  3. Step 3: Cross multiply
    315,197.16x = 434,963.46 × 171,957.16
  4. Step 4: Simplify right side
    315,197.16x = 74,795,081,285.37
  5. Step 5: Solve for x
    x = 74,795,081,285.37/315,197.16
  6. Step 6: Final answer
    x = 237,296.18

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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.