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Finding the Fourth Proportional to 421,378.34, 632,085.97 and 121,889.20

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Solution

The fourth proportional to 421,378.34, 632,085.97 and 121,889.20 is: 182,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,378.34 : 632,085.97 = 121,889.20 : x
  2. Step 2: Convert to fraction form
    421,378.34/632,085.97 = 121,889.20/x
  3. Step 3: Cross multiply
    421,378.34x = 632,085.97 × 121,889.20
  4. Step 4: Simplify right side
    421,378.34x = 77,044,453,214.52
  5. Step 5: Solve for x
    x = 77,044,453,214.52/421,378.34
  6. Step 6: Final answer
    x = 182,839.14

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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.