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Finding the Fourth Proportional to 380,314, 524,813.36 and 208,198.97

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Solution

The fourth proportional to 380,314, 524,813.36 and 208,198.97 is: 287,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,314 : 524,813.36 = 208,198.97 : x
  2. Step 2: Convert to fraction form
    380,314/524,813.36 = 208,198.97/x
  3. Step 3: Cross multiply
    380,314x = 524,813.36 × 208,198.97
  4. Step 4: Simplify right side
    380,314x = 109,265,600,994.24
  5. Step 5: Solve for x
    x = 109,265,600,994.24/380,314
  6. Step 6: Final answer
    x = 287,303.65

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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.