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Finding the Fourth Proportional to 314,603.88, 434,004.80 and 212,664.86

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Solution

The fourth proportional to 314,603.88, 434,004.80 and 212,664.86 is: 293,377.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,603.88 : 434,004.80 = 212,664.86 : x
  2. Step 2: Convert to fraction form
    314,603.88/434,004.80 = 212,664.86/x
  3. Step 3: Cross multiply
    314,603.88x = 434,004.80 × 212,664.86
  4. Step 4: Simplify right side
    314,603.88x = 92,297,570,031.33
  5. Step 5: Solve for x
    x = 92,297,570,031.33/314,603.88
  6. Step 6: Final answer
    x = 293,377.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.