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Finding the Fourth Proportional to 305,691.32, 421,807.02 and 171,529.40

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Solution

The fourth proportional to 305,691.32, 421,807.02 and 171,529.40 is: 236,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,691.32 : 421,807.02 = 171,529.40 : x
  2. Step 2: Convert to fraction form
    305,691.32/421,807.02 = 171,529.40/x
  3. Step 3: Cross multiply
    305,691.32x = 421,807.02 × 171,529.40
  4. Step 4: Simplify right side
    305,691.32x = 72,352,305,056.39
  5. Step 5: Solve for x
    x = 72,352,305,056.39/305,691.32
  6. Step 6: Final answer
    x = 236,684.20

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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.