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Finding the Fourth Proportional to 456,694.20, 685,235.70 and 288,343.80

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Solution

The fourth proportional to 456,694.20, 685,235.70 and 288,343.80 is: 432,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,694.20 : 685,235.70 = 288,343.80 : x
  2. Step 2: Convert to fraction form
    456,694.20/685,235.70 = 288,343.80/x
  3. Step 3: Cross multiply
    456,694.20x = 685,235.70 × 288,343.80
  4. Step 4: Simplify right side
    456,694.20x = 197,583,465,633.66
  5. Step 5: Solve for x
    x = 197,583,465,633.66/456,694.20
  6. Step 6: Final answer
    x = 432,638.44

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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.