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Finding the Fourth Proportional to 421,666.07, 632,488.60 and 197,277.57

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Solution

The fourth proportional to 421,666.07, 632,488.60 and 197,277.57 is: 295,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,666.07 : 632,488.60 = 197,277.57 : x
  2. Step 2: Convert to fraction form
    421,666.07/632,488.60 = 197,277.57/x
  3. Step 3: Cross multiply
    421,666.07x = 632,488.60 × 197,277.57
  4. Step 4: Simplify right side
    421,666.07x = 124,775,811,861.35
  5. Step 5: Solve for x
    x = 124,775,811,861.35/421,666.07
  6. Step 6: Final answer
    x = 295,911.43

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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.