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Finding the Fourth Proportional to 648,296.73, 972,409.93 and 199,017.67

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Solution

The fourth proportional to 648,296.73, 972,409.93 and 199,017.67 is: 298,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,296.73 : 972,409.93 = 199,017.67 : x
  2. Step 2: Convert to fraction form
    648,296.73/972,409.93 = 199,017.67/x
  3. Step 3: Cross multiply
    648,296.73x = 972,409.93 × 199,017.67
  4. Step 4: Simplify right side
    648,296.73x = 193,526,758,553.46
  5. Step 5: Solve for x
    x = 193,526,758,553.46/648,296.73
  6. Step 6: Final answer
    x = 298,515.71

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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.