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Finding the Fourth Proportional to 421,505.32, 632,269.50 and 141,012.52

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Solution

The fourth proportional to 421,505.32, 632,269.50 and 141,012.52 is: 211,522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,505.32 : 632,269.50 = 141,012.52 : x
  2. Step 2: Convert to fraction form
    421,505.32/632,269.50 = 141,012.52/x
  3. Step 3: Cross multiply
    421,505.32x = 632,269.50 × 141,012.52
  4. Step 4: Simplify right side
    421,505.32x = 89,157,915,514.14
  5. Step 5: Solve for x
    x = 89,157,915,514.14/421,505.32
  6. Step 6: Final answer
    x = 211,522.63

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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.