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Finding the Fourth Proportional to 421,790.32, 632,685.48 and 185,135.05

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Solution

The fourth proportional to 421,790.32, 632,685.48 and 185,135.05 is: 277,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,790.32 : 632,685.48 = 185,135.05 : x
  2. Step 2: Convert to fraction form
    421,790.32/632,685.48 = 185,135.05/x
  3. Step 3: Cross multiply
    421,790.32x = 632,685.48 × 185,135.05
  4. Step 4: Simplify right side
    421,790.32x = 117,132,257,974.07
  5. Step 5: Solve for x
    x = 117,132,257,974.07/421,790.32
  6. Step 6: Final answer
    x = 277,702.58

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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.