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Finding the Fourth Proportional to 421,484.09, 581,652.63 and 230,493.38

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Solution

The fourth proportional to 421,484.09, 581,652.63 and 230,493.38 is: 318,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,484.09 : 581,652.63 = 230,493.38 : x
  2. Step 2: Convert to fraction form
    421,484.09/581,652.63 = 230,493.38/x
  3. Step 3: Cross multiply
    421,484.09x = 581,652.63 × 230,493.38
  4. Step 4: Simplify right side
    421,484.09x = 134,067,077,766.33
  5. Step 5: Solve for x
    x = 134,067,077,766.33/421,484.09
  6. Step 6: Final answer
    x = 318,083.37

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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.