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Finding the Fourth Proportional to 307,427.56, 424,177.80 and 186,566.12

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Solution

The fourth proportional to 307,427.56, 424,177.80 and 186,566.12 is: 257,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,427.56 : 424,177.80 = 186,566.12 : x
  2. Step 2: Convert to fraction form
    307,427.56/424,177.80 = 186,566.12/x
  3. Step 3: Cross multiply
    307,427.56x = 424,177.80 × 186,566.12
  4. Step 4: Simplify right side
    307,427.56x = 79,137,206,336.14
  5. Step 5: Solve for x
    x = 79,137,206,336.14/307,427.56
  6. Step 6: Final answer
    x = 257,417.41

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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.