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Finding the Fourth Proportional to 288,016.40, 432,024.60 and 256,523.60

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Solution

The fourth proportional to 288,016.40, 432,024.60 and 256,523.60 is: 384,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,016.40 : 432,024.60 = 256,523.60 : x
  2. Step 2: Convert to fraction form
    288,016.40/432,024.60 = 256,523.60/x
  3. Step 3: Cross multiply
    288,016.40x = 432,024.60 × 256,523.60
  4. Step 4: Simplify right side
    288,016.40x = 110,824,505,680.56
  5. Step 5: Solve for x
    x = 110,824,505,680.56/288,016.40
  6. Step 6: Final answer
    x = 384,785.40

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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.