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Finding the Fourth Proportional to 325,830.70, 489,183.45 and 208,024.30

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Solution

The fourth proportional to 325,830.70, 489,183.45 and 208,024.30 is: 312,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,830.70 : 489,183.45 = 208,024.30 : x
  2. Step 2: Convert to fraction form
    325,830.70/489,183.45 = 208,024.30/x
  3. Step 3: Cross multiply
    325,830.70x = 489,183.45 × 208,024.30
  4. Step 4: Simplify right side
    325,830.70x = 101,762,044,757.84
  5. Step 5: Solve for x
    x = 101,762,044,757.84/325,830.70
  6. Step 6: Final answer
    x = 312,315.70

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1.5x scale

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.