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Finding the Fourth Proportional to 218,006.40, 300,830.24 and 122,505.60

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Solution

The fourth proportional to 218,006.40, 300,830.24 and 122,505.60 is: 169,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,006.40 : 300,830.24 = 122,505.60 : x
  2. Step 2: Convert to fraction form
    218,006.40/300,830.24 = 122,505.60/x
  3. Step 3: Cross multiply
    218,006.40x = 300,830.24 × 122,505.60
  4. Step 4: Simplify right side
    218,006.40x = 36,853,389,049.34
  5. Step 5: Solve for x
    x = 36,853,389,049.34/218,006.40
  6. Step 6: Final answer
    x = 169,047.28

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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.