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Finding the Fourth Proportional to 380,310.76, 524,808.87 and 208,195.74

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Solution

The fourth proportional to 380,310.76, 524,808.87 and 208,195.74 is: 287,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,310.76 : 524,808.87 = 208,195.74 : x
  2. Step 2: Convert to fraction form
    380,310.76/524,808.87 = 208,195.74/x
  3. Step 3: Cross multiply
    380,310.76x = 524,808.87 × 208,195.74
  4. Step 4: Simplify right side
    380,310.76x = 109,262,971,048.21
  5. Step 5: Solve for x
    x = 109,262,971,048.21/380,310.76
  6. Step 6: Final answer
    x = 287,299.18

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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.