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Finding the Fourth Proportional to 305,920.08, 421,999.56 and 284,270.64

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Solution

The fourth proportional to 305,920.08, 421,999.56 and 284,270.64 is: 392,135.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,920.08 : 421,999.56 = 284,270.64 : x
  2. Step 2: Convert to fraction form
    305,920.08/421,999.56 = 284,270.64/x
  3. Step 3: Cross multiply
    305,920.08x = 421,999.56 × 284,270.64
  4. Step 4: Simplify right side
    305,920.08x = 119,962,085,000.92
  5. Step 5: Solve for x
    x = 119,962,085,000.92/305,920.08
  6. Step 6: Final answer
    x = 392,135.37

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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.