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Finding the Fourth Proportional to 306,620.32, 459,383.28 and 166,289.44

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Solution

The fourth proportional to 306,620.32, 459,383.28 and 166,289.44 is: 249,137.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,620.32 : 459,383.28 = 166,289.44 : x
  2. Step 2: Convert to fraction form
    306,620.32/459,383.28 = 166,289.44/x
  3. Step 3: Cross multiply
    306,620.32x = 459,383.28 × 166,289.44
  4. Step 4: Simplify right side
    306,620.32x = 76,390,588,376.56
  5. Step 5: Solve for x
    x = 76,390,588,376.56/306,620.32
  6. Step 6: Final answer
    x = 249,137.40

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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.