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Finding the Fourth Proportional to 330,221.57, 495,402.92 and 102,512.16

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Solution

The fourth proportional to 330,221.57, 495,402.92 and 102,512.16 is: 153,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,221.57 : 495,402.92 = 102,512.16 : x
  2. Step 2: Convert to fraction form
    330,221.57/495,402.92 = 102,512.16/x
  3. Step 3: Cross multiply
    330,221.57x = 495,402.92 × 102,512.16
  4. Step 4: Simplify right side
    330,221.57x = 50,784,820,409.93
  5. Step 5: Solve for x
    x = 50,784,820,409.93/330,221.57
  6. Step 6: Final answer
    x = 153,790.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.