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Finding the Fourth Proportional to 305,079.96, 420,760.72 and 214,735

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Solution

The fourth proportional to 305,079.96, 420,760.72 and 214,735 is: 296,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,079.96 : 420,760.72 = 214,735 : x
  2. Step 2: Convert to fraction form
    305,079.96/420,760.72 = 214,735/x
  3. Step 3: Cross multiply
    305,079.96x = 420,760.72 × 214,735
  4. Step 4: Simplify right side
    305,079.96x = 90,352,053,209.20
  5. Step 5: Solve for x
    x = 90,352,053,209.20/305,079.96
  6. Step 6: Final answer
    x = 296,158.60

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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.