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Finding the Fourth Proportional to 306,069.10, 459,103.65 and 221,432.20

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Solution

The fourth proportional to 306,069.10, 459,103.65 and 221,432.20 is: 332,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,069.10 : 459,103.65 = 221,432.20 : x
  2. Step 2: Convert to fraction form
    306,069.10/459,103.65 = 221,432.20/x
  3. Step 3: Cross multiply
    306,069.10x = 459,103.65 × 221,432.20
  4. Step 4: Simplify right side
    306,069.10x = 101,660,331,247.53
  5. Step 5: Solve for x
    x = 101,660,331,247.53/306,069.10
  6. Step 6: Final answer
    x = 332,148.30

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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.