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Finding the Fourth Proportional to 428,980.42, 591,505.22 and 273,722.86

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Solution

The fourth proportional to 428,980.42, 591,505.22 and 273,722.86 is: 377,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,980.42 : 591,505.22 = 273,722.86 : x
  2. Step 2: Convert to fraction form
    428,980.42/591,505.22 = 273,722.86/x
  3. Step 3: Cross multiply
    428,980.42x = 591,505.22 × 273,722.86
  4. Step 4: Simplify right side
    428,980.42x = 161,908,501,207.64
  5. Step 5: Solve for x
    x = 161,908,501,207.64/428,980.42
  6. Step 6: Final answer
    x = 377,426.32

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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.