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Finding the Fourth Proportional to 421,663.58, 632,703.18 and 197,039.51

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Solution

The fourth proportional to 421,663.58, 632,703.18 and 197,039.51 is: 295,656.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,663.58 : 632,703.18 = 197,039.51 : x
  2. Step 2: Convert to fraction form
    421,663.58/632,703.18 = 197,039.51/x
  3. Step 3: Cross multiply
    421,663.58x = 632,703.18 × 197,039.51
  4. Step 4: Simplify right side
    421,663.58x = 124,667,524,562.64
  5. Step 5: Solve for x
    x = 124,667,524,562.64/421,663.58
  6. Step 6: Final answer
    x = 295,656.37

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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.