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Finding the Fourth Proportional to 378,894.34, 568,592.51 and 208,235.23

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Solution

The fourth proportional to 378,894.34, 568,592.51 and 208,235.23 is: 312,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,894.34 : 568,592.51 = 208,235.23 : x
  2. Step 2: Convert to fraction form
    378,894.34/568,592.51 = 208,235.23/x
  3. Step 3: Cross multiply
    378,894.34x = 568,592.51 × 208,235.23
  4. Step 4: Simplify right side
    378,894.34x = 118,400,992,096.13
  5. Step 5: Solve for x
    x = 118,400,992,096.13/378,894.34
  6. Step 6: Final answer
    x = 312,490.79

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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.