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Finding the Fourth Proportional to 434,408.72, 651,212.16 and 301,351.76

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Solution

The fourth proportional to 434,408.72, 651,212.16 and 301,351.76 is: 451,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,408.72 : 651,212.16 = 301,351.76 : x
  2. Step 2: Convert to fraction form
    434,408.72/651,212.16 = 301,351.76/x
  3. Step 3: Cross multiply
    434,408.72x = 651,212.16 × 301,351.76
  4. Step 4: Simplify right side
    434,408.72x = 196,243,930,549.40
  5. Step 5: Solve for x
    x = 196,243,930,549.40/434,408.72
  6. Step 6: Final answer
    x = 451,749.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.