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Finding the Fourth Proportional to 307,409.94, 424,301.78 and 209,455.24

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Solution

The fourth proportional to 307,409.94, 424,301.78 and 209,455.24 is: 289,100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,409.94 : 424,301.78 = 209,455.24 : x
  2. Step 2: Convert to fraction form
    307,409.94/424,301.78 = 209,455.24/x
  3. Step 3: Cross multiply
    307,409.94x = 424,301.78 × 209,455.24
  4. Step 4: Simplify right side
    307,409.94x = 88,872,231,162.33
  5. Step 5: Solve for x
    x = 88,872,231,162.33/307,409.94
  6. Step 6: Final answer
    x = 289,100.06

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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.