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Finding the Fourth Proportional to 363,640.20, 545,460.30 and 206,176.20

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Solution

The fourth proportional to 363,640.20, 545,460.30 and 206,176.20 is: 309,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,640.20 : 545,460.30 = 206,176.20 : x
  2. Step 2: Convert to fraction form
    363,640.20/545,460.30 = 206,176.20/x
  3. Step 3: Cross multiply
    363,640.20x = 545,460.30 × 206,176.20
  4. Step 4: Simplify right side
    363,640.20x = 112,460,931,904.86
  5. Step 5: Solve for x
    x = 112,460,931,904.86/363,640.20
  6. Step 6: Final answer
    x = 309,264.30

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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.