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Finding the Fourth Proportional to 312,592.08, 431,376.48 and 169,356

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Solution

The fourth proportional to 312,592.08, 431,376.48 and 169,356 is: 233,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,592.08 : 431,376.48 = 169,356 : x
  2. Step 2: Convert to fraction form
    312,592.08/431,376.48 = 169,356/x
  3. Step 3: Cross multiply
    312,592.08x = 431,376.48 × 169,356
  4. Step 4: Simplify right side
    312,592.08x = 73,056,195,146.88
  5. Step 5: Solve for x
    x = 73,056,195,146.88/312,592.08
  6. Step 6: Final answer
    x = 233,710.96

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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.