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Finding the Fourth Proportional to 298,745.89, 412,264.14 and 162,780.95

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Solution

The fourth proportional to 298,745.89, 412,264.14 and 162,780.95 is: 224,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,745.89 : 412,264.14 = 162,780.95 : x
  2. Step 2: Convert to fraction form
    298,745.89/412,264.14 = 162,780.95/x
  3. Step 3: Cross multiply
    298,745.89x = 412,264.14 × 162,780.95
  4. Step 4: Simplify right side
    298,745.89x = 67,108,748,576.89
  5. Step 5: Solve for x
    x = 67,108,748,576.89/298,745.89
  6. Step 6: Final answer
    x = 224,634.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.