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Finding the Fourth Proportional to 378,314.70, 522,085.20 and 208,559.76

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Solution

The fourth proportional to 378,314.70, 522,085.20 and 208,559.76 is: 287,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,314.70 : 522,085.20 = 208,559.76 : x
  2. Step 2: Convert to fraction form
    378,314.70/522,085.20 = 208,559.76/x
  3. Step 3: Cross multiply
    378,314.70x = 522,085.20 × 208,559.76
  4. Step 4: Simplify right side
    378,314.70x = 108,885,964,011.55
  5. Step 5: Solve for x
    x = 108,885,964,011.55/378,314.70
  6. Step 6: Final answer
    x = 287,818.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.