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Finding the Fourth Proportional to 306,709.20, 460,734.48 and 218,529.36

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Solution

The fourth proportional to 306,709.20, 460,734.48 and 218,529.36 is: 328,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,709.20 : 460,734.48 = 218,529.36 : x
  2. Step 2: Convert to fraction form
    306,709.20/460,734.48 = 218,529.36/x
  3. Step 3: Cross multiply
    306,709.20x = 460,734.48 × 218,529.36
  4. Step 4: Simplify right side
    306,709.20x = 100,684,011,044.33
  5. Step 5: Solve for x
    x = 100,684,011,044.33/306,709.20
  6. Step 6: Final answer
    x = 328,271.90

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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.