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Finding the Fourth Proportional to 378,021.60, 566,254.80 and 191,138.40

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Solution

The fourth proportional to 378,021.60, 566,254.80 and 191,138.40 is: 286,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,021.60 : 566,254.80 = 191,138.40 : x
  2. Step 2: Convert to fraction form
    378,021.60/566,254.80 = 191,138.40/x
  3. Step 3: Cross multiply
    378,021.60x = 566,254.80 × 191,138.40
  4. Step 4: Simplify right side
    378,021.60x = 108,233,036,464.32
  5. Step 5: Solve for x
    x = 108,233,036,464.32/378,021.60
  6. Step 6: Final answer
    x = 286,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.