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Finding the Fourth Proportional to 421,733.90, 631,901 and 296,812.46

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Solution

The fourth proportional to 421,733.90, 631,901 and 296,812.46 is: 444,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,733.90 : 631,901 = 296,812.46 : x
  2. Step 2: Convert to fraction form
    421,733.90/631,901 = 296,812.46/x
  3. Step 3: Cross multiply
    421,733.90x = 631,901 × 296,812.46
  4. Step 4: Simplify right side
    421,733.90x = 187,556,090,286.46
  5. Step 5: Solve for x
    x = 187,556,090,286.46/421,733.90
  6. Step 6: Final answer
    x = 444,726.14

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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.