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Finding the Fourth Proportional to 384,133.92, 530,041.32 and 214,367.60

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Solution

The fourth proportional to 384,133.92, 530,041.32 and 214,367.60 is: 295,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,133.92 : 530,041.32 = 214,367.60 : x
  2. Step 2: Convert to fraction form
    384,133.92/530,041.32 = 214,367.60/x
  3. Step 3: Cross multiply
    384,133.92x = 530,041.32 × 214,367.60
  4. Step 4: Simplify right side
    384,133.92x = 113,623,685,669.23
  5. Step 5: Solve for x
    x = 113,623,685,669.23/384,133.92
  6. Step 6: Final answer
    x = 295,791.86

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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.