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Finding the Fourth Proportional to 472,930.80, 708,474.60 and 285,385.20

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Solution

The fourth proportional to 472,930.80, 708,474.60 and 285,385.20 is: 427,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,930.80 : 708,474.60 = 285,385.20 : x
  2. Step 2: Convert to fraction form
    472,930.80/708,474.60 = 285,385.20/x
  3. Step 3: Cross multiply
    472,930.80x = 708,474.60 × 285,385.20
  4. Step 4: Simplify right side
    472,930.80x = 202,188,165,415.92
  5. Step 5: Solve for x
    x = 202,188,165,415.92/472,930.80
  6. Step 6: Final answer
    x = 427,521.67

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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.