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Finding the Fourth Proportional to 203,412.48, 305,114.40 and 70,288.64

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Solution

The fourth proportional to 203,412.48, 305,114.40 and 70,288.64 is: 105,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,412.48 : 305,114.40 = 70,288.64 : x
  2. Step 2: Convert to fraction form
    203,412.48/305,114.40 = 70,288.64/x
  3. Step 3: Cross multiply
    203,412.48x = 305,114.40 × 70,288.64
  4. Step 4: Simplify right side
    203,412.48x = 21,446,076,220.42
  5. Step 5: Solve for x
    x = 21,446,076,220.42/203,412.48
  6. Step 6: Final answer
    x = 105,431.47

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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.