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Finding the Fourth Proportional to 304,290, 419,912.64 and 168,329.34

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Solution

The fourth proportional to 304,290, 419,912.64 and 168,329.34 is: 232,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,290 : 419,912.64 = 168,329.34 : x
  2. Step 2: Convert to fraction form
    304,290/419,912.64 = 168,329.34/x
  3. Step 3: Cross multiply
    304,290x = 419,912.64 × 168,329.34
  4. Step 4: Simplify right side
    304,290x = 70,683,617,548.86
  5. Step 5: Solve for x
    x = 70,683,617,548.86/304,290
  6. Step 6: Final answer
    x = 232,290.31

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1.5x scale

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.