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Finding the Fourth Proportional to 383,175.87, 528,799.05 and 213,410.01

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Solution

The fourth proportional to 383,175.87, 528,799.05 and 213,410.01 is: 294,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,175.87 : 528,799.05 = 213,410.01 : x
  2. Step 2: Convert to fraction form
    383,175.87/528,799.05 = 213,410.01/x
  3. Step 3: Cross multiply
    383,175.87x = 528,799.05 × 213,410.01
  4. Step 4: Simplify right side
    383,175.87x = 112,851,010,548.49
  5. Step 5: Solve for x
    x = 112,851,010,548.49/383,175.87
  6. Step 6: Final answer
    x = 294,514.92

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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.