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Finding the Fourth Proportional to 310,550.50, 428,884.95 and 214,005.43

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Solution

The fourth proportional to 310,550.50, 428,884.95 and 214,005.43 is: 295,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,550.50 : 428,884.95 = 214,005.43 : x
  2. Step 2: Convert to fraction form
    310,550.50/428,884.95 = 214,005.43/x
  3. Step 3: Cross multiply
    310,550.50x = 428,884.95 × 214,005.43
  4. Step 4: Simplify right side
    310,550.50x = 91,783,708,145.28
  5. Step 5: Solve for x
    x = 91,783,708,145.28/310,550.50
  6. Step 6: Final answer
    x = 295,551.64

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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.