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Finding the Fourth Proportional to 384,122.98, 530,040.81 and 214,364.26

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Solution

The fourth proportional to 384,122.98, 530,040.81 and 214,364.26 is: 295,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,122.98 : 530,040.81 = 214,364.26 : x
  2. Step 2: Convert to fraction form
    384,122.98/530,040.81 = 214,364.26/x
  3. Step 3: Cross multiply
    384,122.98x = 530,040.81 × 214,364.26
  4. Step 4: Simplify right side
    384,122.98x = 113,621,806,005.45
  5. Step 5: Solve for x
    x = 113,621,806,005.45/384,122.98
  6. Step 6: Final answer
    x = 295,795.39

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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.