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Finding the Fourth Proportional to 307,407.94, 424,299.02 and 209,453.24

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Solution

The fourth proportional to 307,407.94, 424,299.02 and 209,453.24 is: 289,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,407.94 : 424,299.02 = 209,453.24 : x
  2. Step 2: Convert to fraction form
    307,407.94/424,299.02 = 209,453.24/x
  3. Step 3: Cross multiply
    307,407.94x = 424,299.02 × 209,453.24
  4. Step 4: Simplify right side
    307,407.94x = 88,870,802,869.96
  5. Step 5: Solve for x
    x = 88,870,802,869.96/307,407.94
  6. Step 6: Final answer
    x = 289,097.29

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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.