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Finding the Fourth Proportional to 309,158.37, 463,133.70 and 213,078.60

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Solution

The fourth proportional to 309,158.37, 463,133.70 and 213,078.60 is: 319,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,158.37 : 463,133.70 = 213,078.60 : x
  2. Step 2: Convert to fraction form
    309,158.37/463,133.70 = 213,078.60/x
  3. Step 3: Cross multiply
    309,158.37x = 463,133.70 × 213,078.60
  4. Step 4: Simplify right side
    309,158.37x = 98,683,880,408.82
  5. Step 5: Solve for x
    x = 98,683,880,408.82/309,158.37
  6. Step 6: Final answer
    x = 319,201.71

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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.