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Finding the Fourth Proportional to 314,142.48, 470,630.52 and 212,892.48

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Solution

The fourth proportional to 314,142.48, 470,630.52 and 212,892.48 is: 318,943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,142.48 : 470,630.52 = 212,892.48 : x
  2. Step 2: Convert to fraction form
    314,142.48/470,630.52 = 212,892.48/x
  3. Step 3: Cross multiply
    314,142.48x = 470,630.52 × 212,892.48
  4. Step 4: Simplify right side
    314,142.48x = 100,193,698,566.49
  5. Step 5: Solve for x
    x = 100,193,698,566.49/314,142.48
  6. Step 6: Final answer
    x = 318,943.49

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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.