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Finding the Fourth Proportional to 645,039.02, 967,203.12 and 308,164.52

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Solution

The fourth proportional to 645,039.02, 967,203.12 and 308,164.52 is: 462,076.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,039.02 : 967,203.12 = 308,164.52 : x
  2. Step 2: Convert to fraction form
    645,039.02/967,203.12 = 308,164.52/x
  3. Step 3: Cross multiply
    645,039.02x = 967,203.12 × 308,164.52
  4. Step 4: Simplify right side
    645,039.02x = 298,057,685,217.30
  5. Step 5: Solve for x
    x = 298,057,685,217.30/645,039.02
  6. Step 6: Final answer
    x = 462,076.98

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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.