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Finding the Fourth Proportional to 378,743.74, 522,666 and 208,977.88

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Solution

The fourth proportional to 378,743.74, 522,666 and 208,977.88 is: 288,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,743.74 : 522,666 = 208,977.88 : x
  2. Step 2: Convert to fraction form
    378,743.74/522,666 = 208,977.88/x
  3. Step 3: Cross multiply
    378,743.74x = 522,666 × 208,977.88
  4. Step 4: Simplify right side
    378,743.74x = 109,225,632,628.08
  5. Step 5: Solve for x
    x = 109,225,632,628.08/378,743.74
  6. Step 6: Final answer
    x = 288,389.28

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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.