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Finding the Fourth Proportional to 421,498.35, 581,676.21 and 230,524.02

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Solution

The fourth proportional to 421,498.35, 581,676.21 and 230,524.02 is: 318,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,498.35 : 581,676.21 = 230,524.02 : x
  2. Step 2: Convert to fraction form
    421,498.35/581,676.21 = 230,524.02/x
  3. Step 3: Cross multiply
    421,498.35x = 581,676.21 × 230,524.02
  4. Step 4: Simplify right side
    421,498.35x = 134,090,338,267.56
  5. Step 5: Solve for x
    x = 134,090,338,267.56/421,498.35
  6. Step 6: Final answer
    x = 318,127.79

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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.