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Finding the Fourth Proportional to 421,788.57, 632,682.86 and 185,133.30

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Solution

The fourth proportional to 421,788.57, 632,682.86 and 185,133.30 is: 277,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,788.57 : 632,682.86 = 185,133.30 : x
  2. Step 2: Convert to fraction form
    421,788.57/632,682.86 = 185,133.30/x
  3. Step 3: Cross multiply
    421,788.57x = 632,682.86 × 185,133.30
  4. Step 4: Simplify right side
    421,788.57x = 117,130,665,725.24
  5. Step 5: Solve for x
    x = 117,130,665,725.24/421,788.57
  6. Step 6: Final answer
    x = 277,699.95

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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.