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Finding the Fourth Proportional to 315,051.36, 434,766.96 and 171,808.08

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Solution

The fourth proportional to 315,051.36, 434,766.96 and 171,808.08 is: 237,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,051.36 : 434,766.96 = 171,808.08 : x
  2. Step 2: Convert to fraction form
    315,051.36/434,766.96 = 171,808.08/x
  3. Step 3: Cross multiply
    315,051.36x = 434,766.96 × 171,808.08
  4. Step 4: Simplify right side
    315,051.36x = 74,696,476,645.04
  5. Step 5: Solve for x
    x = 74,696,476,645.04/315,051.36
  6. Step 6: Final answer
    x = 237,093.01

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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.