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Finding the Fourth Proportional to 305,052.57, 457,539.66 and 80,430.66

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Solution

The fourth proportional to 305,052.57, 457,539.66 and 80,430.66 is: 120,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052.57 : 457,539.66 = 80,430.66 : x
  2. Step 2: Convert to fraction form
    305,052.57/457,539.66 = 80,430.66/x
  3. Step 3: Cross multiply
    305,052.57x = 457,539.66 × 80,430.66
  4. Step 4: Simplify right side
    305,052.57x = 36,800,216,829.98
  5. Step 5: Solve for x
    x = 36,800,216,829.98/305,052.57
  6. Step 6: Final answer
    x = 120,635.66

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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.