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Finding the Fourth Proportional to 421,394.35, 581,682.33 and 276,209.48

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Solution

The fourth proportional to 421,394.35, 581,682.33 and 276,209.48 is: 381,272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,394.35 : 581,682.33 = 276,209.48 : x
  2. Step 2: Convert to fraction form
    421,394.35/581,682.33 = 276,209.48/x
  3. Step 3: Cross multiply
    421,394.35x = 581,682.33 × 276,209.48
  4. Step 4: Simplify right side
    421,394.35x = 160,666,173,894.49
  5. Step 5: Solve for x
    x = 160,666,173,894.49/421,394.35
  6. Step 6: Final answer
    x = 381,272.73

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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.