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Finding the Fourth Proportional to 384,270.20, 530,270.88 and 214,515.08

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Solution

The fourth proportional to 384,270.20, 530,270.88 and 214,515.08 is: 296,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,270.20 : 530,270.88 = 214,515.08 : x
  2. Step 2: Convert to fraction form
    384,270.20/530,270.88 = 214,515.08/x
  3. Step 3: Cross multiply
    384,270.20x = 530,270.88 × 214,515.08
  4. Step 4: Simplify right side
    384,270.20x = 113,751,100,244.87
  5. Step 5: Solve for x
    x = 113,751,100,244.87/384,270.20
  6. Step 6: Final answer
    x = 296,018.53

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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.