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Finding the Fourth Proportional to 307,908, 424,914.32 and 166,596

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Solution

The fourth proportional to 307,908, 424,914.32 and 166,596 is: 229,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,908 : 424,914.32 = 166,596 : x
  2. Step 2: Convert to fraction form
    307,908/424,914.32 = 166,596/x
  3. Step 3: Cross multiply
    307,908x = 424,914.32 × 166,596
  4. Step 4: Simplify right side
    307,908x = 70,789,026,054.72
  5. Step 5: Solve for x
    x = 70,789,026,054.72/307,908
  6. Step 6: Final answer
    x = 229,903.17

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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.