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Finding the Fourth Proportional to 305,940.17, 458,862.87 and 156,291.05

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Solution

The fourth proportional to 305,940.17, 458,862.87 and 156,291.05 is: 234,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,940.17 : 458,862.87 = 156,291.05 : x
  2. Step 2: Convert to fraction form
    305,940.17/458,862.87 = 156,291.05/x
  3. Step 3: Cross multiply
    305,940.17x = 458,862.87 × 156,291.05
  4. Step 4: Simplify right side
    305,940.17x = 71,716,161,491.56
  5. Step 5: Solve for x
    x = 71,716,161,491.56/305,940.17
  6. Step 6: Final answer
    x = 234,412.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.