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Finding the Fourth Proportional to 378,668.64, 522,565.92 and 208,914.24

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Solution

The fourth proportional to 378,668.64, 522,565.92 and 208,914.24 is: 288,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,668.64 : 522,565.92 = 208,914.24 : x
  2. Step 2: Convert to fraction form
    378,668.64/522,565.92 = 208,914.24/x
  3. Step 3: Cross multiply
    378,668.64x = 522,565.92 × 208,914.24
  4. Step 4: Simplify right side
    378,668.64x = 109,171,462,026.70
  5. Step 5: Solve for x
    x = 109,171,462,026.70/378,668.64
  6. Step 6: Final answer
    x = 288,303.41

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1.5x scale

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.