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Finding the Fourth Proportional to 305,801.40, 457,406.10 and 274,438.20

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Solution

The fourth proportional to 305,801.40, 457,406.10 and 274,438.20 is: 410,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,801.40 : 457,406.10 = 274,438.20 : x
  2. Step 2: Convert to fraction form
    305,801.40/457,406.10 = 274,438.20/x
  3. Step 3: Cross multiply
    305,801.40x = 457,406.10 × 274,438.20
  4. Step 4: Simplify right side
    305,801.40x = 125,529,706,753.02
  5. Step 5: Solve for x
    x = 125,529,706,753.02/305,801.40
  6. Step 6: Final answer
    x = 410,494.22

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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.