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Finding the Fourth Proportional to 306,528.40, 459,792.60 and 149,064.40

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Solution

The fourth proportional to 306,528.40, 459,792.60 and 149,064.40 is: 223,596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,528.40 : 459,792.60 = 149,064.40 : x
  2. Step 2: Convert to fraction form
    306,528.40/459,792.60 = 149,064.40/x
  3. Step 3: Cross multiply
    306,528.40x = 459,792.60 × 149,064.40
  4. Step 4: Simplify right side
    306,528.40x = 68,538,708,043.44
  5. Step 5: Solve for x
    x = 68,538,708,043.44/306,528.40
  6. Step 6: Final answer
    x = 223,596.60

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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.