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Finding the Fourth Proportional to 315,204.64, 434,967.24 and 171,956.14

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Solution

The fourth proportional to 315,204.64, 434,967.24 and 171,956.14 is: 237,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,204.64 : 434,967.24 = 171,956.14 : x
  2. Step 2: Convert to fraction form
    315,204.64/434,967.24 = 171,956.14/x
  3. Step 3: Cross multiply
    315,204.64x = 434,967.24 × 171,956.14
  4. Step 4: Simplify right side
    315,204.64x = 74,795,287,616.85
  5. Step 5: Solve for x
    x = 74,795,287,616.85/315,204.64
  6. Step 6: Final answer
    x = 237,291.20

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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.