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Finding the Fourth Proportional to 384,259.20, 530,260.80 and 214,489.92

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Solution

The fourth proportional to 384,259.20, 530,260.80 and 214,489.92 is: 295,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,259.20 : 530,260.80 = 214,489.92 : x
  2. Step 2: Convert to fraction form
    384,259.20/530,260.80 = 214,489.92/x
  3. Step 3: Cross multiply
    384,259.20x = 530,260.80 × 214,489.92
  4. Step 4: Simplify right side
    384,259.20x = 113,735,596,571.14
  5. Step 5: Solve for x
    x = 113,735,596,571.14/384,259.20
  6. Step 6: Final answer
    x = 295,986.66

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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.