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Finding the Fourth Proportional to 280,000, 420,000 and 83,008

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Solution

The fourth proportional to 280,000, 420,000 and 83,008 is: 124,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,000 : 420,000 = 83,008 : x
  2. Step 2: Convert to fraction form
    280,000/420,000 = 83,008/x
  3. Step 3: Cross multiply
    280,000x = 420,000 × 83,008
  4. Step 4: Simplify right side
    280,000x = 34,863,360,000
  5. Step 5: Solve for x
    x = 34,863,360,000/280,000
  6. Step 6: Final answer
    x = 124,512

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.