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Finding the Fourth Proportional to 315,196.84, 434,963.04 and 171,956.86

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Solution

The fourth proportional to 315,196.84, 434,963.04 and 171,956.86 is: 237,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,196.84 : 434,963.04 = 171,956.86 : x
  2. Step 2: Convert to fraction form
    315,196.84/434,963.04 = 171,956.86/x
  3. Step 3: Cross multiply
    315,196.84x = 434,963.04 × 171,956.86
  4. Step 4: Simplify right side
    315,196.84x = 74,794,878,574.45
  5. Step 5: Solve for x
    x = 74,794,878,574.45/315,196.84
  6. Step 6: Final answer
    x = 237,295.78

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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.