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Finding the Fourth Proportional to 315,088.08, 434,816.25 and 171,839.58

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Solution

The fourth proportional to 315,088.08, 434,816.25 and 171,839.58 is: 237,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,088.08 : 434,816.25 = 171,839.58 : x
  2. Step 2: Convert to fraction form
    315,088.08/434,816.25 = 171,839.58/x
  3. Step 3: Cross multiply
    315,088.08x = 434,816.25 × 171,839.58
  4. Step 4: Simplify right side
    315,088.08x = 74,718,641,777.18
  5. Step 5: Solve for x
    x = 74,718,641,777.18/315,088.08
  6. Step 6: Final answer
    x = 237,135.73

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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.