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Finding the Fourth Proportional to 300,003.82, 414,005.64 and 164,038.36

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Solution

The fourth proportional to 300,003.82, 414,005.64 and 164,038.36 is: 226,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,003.82 : 414,005.64 = 164,038.36 : x
  2. Step 2: Convert to fraction form
    300,003.82/414,005.64 = 164,038.36/x
  3. Step 3: Cross multiply
    300,003.82x = 414,005.64 × 164,038.36
  4. Step 4: Simplify right side
    300,003.82x = 67,912,806,216.35
  5. Step 5: Solve for x
    x = 67,912,806,216.35/300,003.82
  6. Step 6: Final answer
    x = 226,373.14

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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.