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Finding the Fourth Proportional to 384,209.36, 530,160 and 214,450.64

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Solution

The fourth proportional to 384,209.36, 530,160 and 214,450.64 is: 295,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,209.36 : 530,160 = 214,450.64 : x
  2. Step 2: Convert to fraction form
    384,209.36/530,160 = 214,450.64/x
  3. Step 3: Cross multiply
    384,209.36x = 530,160 × 214,450.64
  4. Step 4: Simplify right side
    384,209.36x = 113,693,151,302.40
  5. Step 5: Solve for x
    x = 113,693,151,302.40/384,209.36
  6. Step 6: Final answer
    x = 295,914.58

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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.