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Finding the Fourth Proportional to 421,877.64, 632,745.90 and 185,156.76

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Solution

The fourth proportional to 421,877.64, 632,745.90 and 185,156.76 is: 277,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,877.64 : 632,745.90 = 185,156.76 : x
  2. Step 2: Convert to fraction form
    421,877.64/632,745.90 = 185,156.76/x
  3. Step 3: Cross multiply
    421,877.64x = 632,745.90 × 185,156.76
  4. Step 4: Simplify right side
    421,877.64x = 117,157,180,747.28
  5. Step 5: Solve for x
    x = 117,157,180,747.28/421,877.64
  6. Step 6: Final answer
    x = 277,704.17

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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.