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Finding the Fourth Proportional to 307,446.40, 424,211.52 and 186,651.28

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Solution

The fourth proportional to 307,446.40, 424,211.52 and 186,651.28 is: 257,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,446.40 : 424,211.52 = 186,651.28 : x
  2. Step 2: Convert to fraction form
    307,446.40/424,211.52 = 186,651.28/x
  3. Step 3: Cross multiply
    307,446.40x = 424,211.52 × 186,651.28
  4. Step 4: Simplify right side
    307,446.40x = 79,179,623,198.75
  5. Step 5: Solve for x
    x = 79,179,623,198.75/307,446.40
  6. Step 6: Final answer
    x = 257,539.60

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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.