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Finding the Fourth Proportional to 378,661.76, 522,555 and 208,895.84

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Solution

The fourth proportional to 378,661.76, 522,555 and 208,895.84 is: 288,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,661.76 : 522,555 = 208,895.84 : x
  2. Step 2: Convert to fraction form
    378,661.76/522,555 = 208,895.84/x
  3. Step 3: Cross multiply
    378,661.76x = 522,555 × 208,895.84
  4. Step 4: Simplify right side
    378,661.76x = 109,159,565,671.20
  5. Step 5: Solve for x
    x = 109,159,565,671.20/378,661.76
  6. Step 6: Final answer
    x = 288,277.24

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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.