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Finding the Fourth Proportional to 378,892.80, 568,051.20 and 192,038.40

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Solution

The fourth proportional to 378,892.80, 568,051.20 and 192,038.40 is: 287,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,892.80 : 568,051.20 = 192,038.40 : x
  2. Step 2: Convert to fraction form
    378,892.80/568,051.20 = 192,038.40/x
  3. Step 3: Cross multiply
    378,892.80x = 568,051.20 × 192,038.40
  4. Step 4: Simplify right side
    378,892.80x = 109,087,643,566.08
  5. Step 5: Solve for x
    x = 109,087,643,566.08/378,892.80
  6. Step 6: Final answer
    x = 287,911.63

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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.