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Finding the Fourth Proportional to 290,595.94, 401,201.31 and 230,409.70

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Solution

The fourth proportional to 290,595.94, 401,201.31 and 230,409.70 is: 318,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,595.94 : 401,201.31 = 230,409.70 : x
  2. Step 2: Convert to fraction form
    290,595.94/401,201.31 = 230,409.70/x
  3. Step 3: Cross multiply
    290,595.94x = 401,201.31 × 230,409.70
  4. Step 4: Simplify right side
    290,595.94x = 92,440,673,476.71
  5. Step 5: Solve for x
    x = 92,440,673,476.71/290,595.94
  6. Step 6: Final answer
    x = 318,107.24

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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.