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Finding the Fourth Proportional to 305,871.80, 457,932.90 and 305,871.80

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Solution

The fourth proportional to 305,871.80, 457,932.90 and 305,871.80 is: 457,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,871.80 : 457,932.90 = 305,871.80 : x
  2. Step 2: Convert to fraction form
    305,871.80/457,932.90 = 305,871.80/x
  3. Step 3: Cross multiply
    305,871.80x = 457,932.90 × 305,871.80
  4. Step 4: Simplify right side
    305,871.80x = 140,068,760,402.22
  5. Step 5: Solve for x
    x = 140,068,760,402.22/305,871.80
  6. Step 6: Final answer
    x = 457,932.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.