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Finding the Fourth Proportional to 421,489.09, 581,659.53 and 230,498.38

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Solution

The fourth proportional to 421,489.09, 581,659.53 and 230,498.38 is: 318,090.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,489.09 : 581,659.53 = 230,498.38 : x
  2. Step 2: Convert to fraction form
    421,489.09/581,659.53 = 230,498.38/x
  3. Step 3: Cross multiply
    421,489.09x = 581,659.53 × 230,498.38
  4. Step 4: Simplify right side
    421,489.09x = 134,071,579,376.56
  5. Step 5: Solve for x
    x = 134,071,579,376.56/421,489.09
  6. Step 6: Final answer
    x = 318,090.27

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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.