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Finding the Fourth Proportional to 315,194.16, 434,959.32 and 171,954.16

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Solution

The fourth proportional to 315,194.16, 434,959.32 and 171,954.16 is: 237,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,194.16 : 434,959.32 = 171,954.16 : x
  2. Step 2: Convert to fraction form
    315,194.16/434,959.32 = 171,954.16/x
  3. Step 3: Cross multiply
    315,194.16x = 434,959.32 × 171,954.16
  4. Step 4: Simplify right side
    315,194.16x = 74,793,064,504.77
  5. Step 5: Solve for x
    x = 74,793,064,504.77/315,194.16
  6. Step 6: Final answer
    x = 237,292.04

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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.