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Finding the Fourth Proportional to 384,215.63, 530,223.03 and 214,449.75

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Solution

The fourth proportional to 384,215.63, 530,223.03 and 214,449.75 is: 295,943.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,215.63 : 530,223.03 = 214,449.75 : x
  2. Step 2: Convert to fraction form
    384,215.63/530,223.03 = 214,449.75/x
  3. Step 3: Cross multiply
    384,215.63x = 530,223.03 × 214,449.75
  4. Step 4: Simplify right side
    384,215.63x = 113,706,196,227.74
  5. Step 5: Solve for x
    x = 113,706,196,227.74/384,215.63
  6. Step 6: Final answer
    x = 295,943.71

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1.5x scale

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.