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Finding the Fourth Proportional to 306,147.60, 459,221.40 and 221,510.70

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Solution

The fourth proportional to 306,147.60, 459,221.40 and 221,510.70 is: 332,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,147.60 : 459,221.40 = 221,510.70 : x
  2. Step 2: Convert to fraction form
    306,147.60/459,221.40 = 221,510.70/x
  3. Step 3: Cross multiply
    306,147.60x = 459,221.40 × 221,510.70
  4. Step 4: Simplify right side
    306,147.60x = 101,722,453,768.98
  5. Step 5: Solve for x
    x = 101,722,453,768.98/306,147.60
  6. Step 6: Final answer
    x = 332,266.05

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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.