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Finding the Fourth Proportional to 307,597.72, 424,514.16 and 186,711.29

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Solution

The fourth proportional to 307,597.72, 424,514.16 and 186,711.29 is: 257,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,597.72 : 424,514.16 = 186,711.29 : x
  2. Step 2: Convert to fraction form
    307,597.72/424,514.16 = 186,711.29/x
  3. Step 3: Cross multiply
    307,597.72x = 424,514.16 × 186,711.29
  4. Step 4: Simplify right side
    307,597.72x = 79,261,586,436.87
  5. Step 5: Solve for x
    x = 79,261,586,436.87/307,597.72
  6. Step 6: Final answer
    x = 257,679.37

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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.