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Finding the Fourth Proportional to 421,784.82, 632,677.23 and 185,129.55

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Solution

The fourth proportional to 421,784.82, 632,677.23 and 185,129.55 is: 277,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,784.82 : 632,677.23 = 185,129.55 : x
  2. Step 2: Convert to fraction form
    421,784.82/632,677.23 = 185,129.55/x
  3. Step 3: Cross multiply
    421,784.82x = 632,677.23 × 185,129.55
  4. Step 4: Simplify right side
    421,784.82x = 117,127,250,885.15
  5. Step 5: Solve for x
    x = 117,127,250,885.15/421,784.82
  6. Step 6: Final answer
    x = 277,694.33

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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.