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Finding the Fourth Proportional to 421,561.72, 581,750.94 and 230,578.84

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Solution

The fourth proportional to 421,561.72, 581,750.94 and 230,578.84 is: 318,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,561.72 : 581,750.94 = 230,578.84 : x
  2. Step 2: Convert to fraction form
    421,561.72/581,750.94 = 230,578.84/x
  3. Step 3: Cross multiply
    421,561.72x = 581,750.94 × 230,578.84
  4. Step 4: Simplify right side
    421,561.72x = 134,139,456,914.11
  5. Step 5: Solve for x
    x = 134,139,456,914.11/421,561.72
  6. Step 6: Final answer
    x = 318,196.48

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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.