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Finding the Fourth Proportional to 315,199.64, 434,960.34 and 171,951.14

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Solution

The fourth proportional to 315,199.64, 434,960.34 and 171,951.14 is: 237,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,199.64 : 434,960.34 = 171,951.14 : x
  2. Step 2: Convert to fraction form
    315,199.64/434,960.34 = 171,951.14/x
  3. Step 3: Cross multiply
    315,199.64x = 434,960.34 × 171,951.14
  4. Step 4: Simplify right side
    315,199.64x = 74,791,926,317.79
  5. Step 5: Solve for x
    x = 74,791,926,317.79/315,199.64
  6. Step 6: Final answer
    x = 237,284.30

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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.