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Finding the Fourth Proportional to 306,807.90, 460,211.85 and 280,235.85

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Solution

The fourth proportional to 306,807.90, 460,211.85 and 280,235.85 is: 420,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,807.90 : 460,211.85 = 280,235.85 : x
  2. Step 2: Convert to fraction form
    306,807.90/460,211.85 = 280,235.85/x
  3. Step 3: Cross multiply
    306,807.90x = 460,211.85 × 280,235.85
  4. Step 4: Simplify right side
    306,807.90x = 128,967,858,964.82
  5. Step 5: Solve for x
    x = 128,967,858,964.82/306,807.90
  6. Step 6: Final answer
    x = 420,353.78

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1.5x scale

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.