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Finding the Fourth Proportional to 643,474.72, 965,207.74 and 163,698.40

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Solution

The fourth proportional to 643,474.72, 965,207.74 and 163,698.40 is: 245,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,474.72 : 965,207.74 = 163,698.40 : x
  2. Step 2: Convert to fraction form
    643,474.72/965,207.74 = 163,698.40/x
  3. Step 3: Cross multiply
    643,474.72x = 965,207.74 × 163,698.40
  4. Step 4: Simplify right side
    643,474.72x = 158,002,961,887.12
  5. Step 5: Solve for x
    x = 158,002,961,887.12/643,474.72
  6. Step 6: Final answer
    x = 245,546.50

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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.