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Finding the Fourth Proportional to 280,603.32, 421,045.78 and 130,855.38

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Solution

The fourth proportional to 280,603.32, 421,045.78 and 130,855.38 is: 196,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,603.32 : 421,045.78 = 130,855.38 : x
  2. Step 2: Convert to fraction form
    280,603.32/421,045.78 = 130,855.38/x
  3. Step 3: Cross multiply
    280,603.32x = 421,045.78 × 130,855.38
  4. Step 4: Simplify right side
    280,603.32x = 55,096,105,539.30
  5. Step 5: Solve for x
    x = 55,096,105,539.30/280,603.32
  6. Step 6: Final answer
    x = 196,348.73

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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.