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Finding the Fourth Proportional to 405,427.92, 608,142.60 and 124,943.28

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Solution

The fourth proportional to 405,427.92, 608,142.60 and 124,943.28 is: 187,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,427.92 : 608,142.60 = 124,943.28 : x
  2. Step 2: Convert to fraction form
    405,427.92/608,142.60 = 124,943.28/x
  3. Step 3: Cross multiply
    405,427.92x = 608,142.60 × 124,943.28
  4. Step 4: Simplify right side
    405,427.92x = 75,983,331,151.73
  5. Step 5: Solve for x
    x = 75,983,331,151.73/405,427.92
  6. Step 6: Final answer
    x = 187,415.14

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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.