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Finding the Fourth Proportional to 378,281.80, 522,020.46 and 208,515.52

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Solution

The fourth proportional to 378,281.80, 522,020.46 and 208,515.52 is: 287,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,281.80 : 522,020.46 = 208,515.52 : x
  2. Step 2: Convert to fraction form
    378,281.80/522,020.46 = 208,515.52/x
  3. Step 3: Cross multiply
    378,281.80x = 522,020.46 × 208,515.52
  4. Step 4: Simplify right side
    378,281.80x = 108,849,367,667.54
  5. Step 5: Solve for x
    x = 108,849,367,667.54/378,281.80
  6. Step 6: Final answer
    x = 287,746.77

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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.