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Finding the Fourth Proportional to 421,470.19, 631,647.60 and 221,381.56

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Solution

The fourth proportional to 421,470.19, 631,647.60 and 221,381.56 is: 331,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,470.19 : 631,647.60 = 221,381.56 : x
  2. Step 2: Convert to fraction form
    421,470.19/631,647.60 = 221,381.56/x
  3. Step 3: Cross multiply
    421,470.19x = 631,647.60 × 221,381.56
  4. Step 4: Simplify right side
    421,470.19x = 139,835,131,058.26
  5. Step 5: Solve for x
    x = 139,835,131,058.26/421,470.19
  6. Step 6: Final answer
    x = 331,779.41

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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.