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Finding the Fourth Proportional to 305,156.40, 457,734.60 and 288,049.20

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Solution

The fourth proportional to 305,156.40, 457,734.60 and 288,049.20 is: 432,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,156.40 : 457,734.60 = 288,049.20 : x
  2. Step 2: Convert to fraction form
    305,156.40/457,734.60 = 288,049.20/x
  3. Step 3: Cross multiply
    305,156.40x = 457,734.60 × 288,049.20
  4. Step 4: Simplify right side
    305,156.40x = 131,850,085,342.32
  5. Step 5: Solve for x
    x = 131,850,085,342.32/305,156.40
  6. Step 6: Final answer
    x = 432,073.80

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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.