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Finding the Fourth Proportional to 315,186.25, 434,957.03 and 202,009

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Solution

The fourth proportional to 315,186.25, 434,957.03 and 202,009 is: 278,772.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186.25 : 434,957.03 = 202,009 : x
  2. Step 2: Convert to fraction form
    315,186.25/434,957.03 = 202,009/x
  3. Step 3: Cross multiply
    315,186.25x = 434,957.03 × 202,009
  4. Step 4: Simplify right side
    315,186.25x = 87,865,233,663.23
  5. Step 5: Solve for x
    x = 87,865,233,663.23/315,186.25
  6. Step 6: Final answer
    x = 278,772.42

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1.5x scale

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.