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Finding the Fourth Proportional to 289,870.08, 400,078.08 and 188,021.76

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Solution

The fourth proportional to 289,870.08, 400,078.08 and 188,021.76 is: 259,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,870.08 : 400,078.08 = 188,021.76 : x
  2. Step 2: Convert to fraction form
    289,870.08/400,078.08 = 188,021.76/x
  3. Step 3: Cross multiply
    289,870.08x = 400,078.08 × 188,021.76
  4. Step 4: Simplify right side
    289,870.08x = 75,223,384,739.02
  5. Step 5: Solve for x
    x = 75,223,384,739.02/289,870.08
  6. Step 6: Final answer
    x = 259,507.24

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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.