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Finding the Fourth Proportional to 378,368.94, 522,153 and 208,609.14

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Solution

The fourth proportional to 378,368.94, 522,153 and 208,609.14 is: 287,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,368.94 : 522,153 = 208,609.14 : x
  2. Step 2: Convert to fraction form
    378,368.94/522,153 = 208,609.14/x
  3. Step 3: Cross multiply
    378,368.94x = 522,153 × 208,609.14
  4. Step 4: Simplify right side
    378,368.94x = 108,925,888,278.42
  5. Step 5: Solve for x
    x = 108,925,888,278.42/378,368.94
  6. Step 6: Final answer
    x = 287,882.74

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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.