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Finding the Fourth Proportional to 305,531.30, 421,683.91 and 178,206.90

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Solution

The fourth proportional to 305,531.30, 421,683.91 and 178,206.90 is: 245,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,531.30 : 421,683.91 = 178,206.90 : x
  2. Step 2: Convert to fraction form
    305,531.30/421,683.91 = 178,206.90/x
  3. Step 3: Cross multiply
    305,531.30x = 421,683.91 × 178,206.90
  4. Step 4: Simplify right side
    305,531.30x = 75,146,979,381.53
  5. Step 5: Solve for x
    x = 75,146,979,381.53/305,531.30
  6. Step 6: Final answer
    x = 245,955.09

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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.