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Finding the Fourth Proportional to 421,664.08, 632,703.92 and 197,040

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Solution

The fourth proportional to 421,664.08, 632,703.92 and 197,040 is: 295,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,664.08 : 632,703.92 = 197,040 : x
  2. Step 2: Convert to fraction form
    421,664.08/632,703.92 = 197,040/x
  3. Step 3: Cross multiply
    421,664.08x = 632,703.92 × 197,040
  4. Step 4: Simplify right side
    421,664.08x = 124,667,980,396.80
  5. Step 5: Solve for x
    x = 124,667,980,396.80/421,664.08
  6. Step 6: Final answer
    x = 295,657.10

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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.