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Finding the Fourth Proportional to 421,441.83, 632,030.80 and 140,893.47

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Solution

The fourth proportional to 421,441.83, 632,030.80 and 140,893.47 is: 211,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,441.83 : 632,030.80 = 140,893.47 : x
  2. Step 2: Convert to fraction form
    421,441.83/632,030.80 = 140,893.47/x
  3. Step 3: Cross multiply
    421,441.83x = 632,030.80 × 140,893.47
  4. Step 4: Simplify right side
    421,441.83x = 89,049,012,558.88
  5. Step 5: Solve for x
    x = 89,049,012,558.88/421,441.83
  6. Step 6: Final answer
    x = 211,296.09

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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.