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Finding the Fourth Proportional to 384,144.40, 576,216.60 and 162,499.60

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Solution

The fourth proportional to 384,144.40, 576,216.60 and 162,499.60 is: 243,749.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,144.40 : 576,216.60 = 162,499.60 : x
  2. Step 2: Convert to fraction form
    384,144.40/576,216.60 = 162,499.60/x
  3. Step 3: Cross multiply
    384,144.40x = 576,216.60 × 162,499.60
  4. Step 4: Simplify right side
    384,144.40x = 93,634,967,013.36
  5. Step 5: Solve for x
    x = 93,634,967,013.36/384,144.40
  6. Step 6: Final answer
    x = 243,749.40

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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.