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Finding the Fourth Proportional to 380,281.59, 524,794.82 and 208,196.69

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Solution

The fourth proportional to 380,281.59, 524,794.82 and 208,196.69 is: 287,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,281.59 : 524,794.82 = 208,196.69 : x
  2. Step 2: Convert to fraction form
    380,281.59/524,794.82 = 208,196.69/x
  3. Step 3: Cross multiply
    380,281.59x = 524,794.82 × 208,196.69
  4. Step 4: Simplify right side
    380,281.59x = 109,260,540,788.19
  5. Step 5: Solve for x
    x = 109,260,540,788.19/380,281.59
  6. Step 6: Final answer
    x = 287,314.83

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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.