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Finding the Fourth Proportional to 310,549.50, 428,883.57 and 214,004.43

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Solution

The fourth proportional to 310,549.50, 428,883.57 and 214,004.43 is: 295,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,549.50 : 428,883.57 = 214,004.43 : x
  2. Step 2: Convert to fraction form
    310,549.50/428,883.57 = 214,004.43/x
  3. Step 3: Cross multiply
    310,549.50x = 428,883.57 × 214,004.43
  4. Step 4: Simplify right side
    310,549.50x = 91,782,983,934.22
  5. Step 5: Solve for x
    x = 91,782,983,934.22/310,549.50
  6. Step 6: Final answer
    x = 295,550.26

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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.