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Finding the Fourth Proportional to 469,704, 704,408 and 154,087.36

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Solution

The fourth proportional to 469,704, 704,408 and 154,087.36 is: 231,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,704 : 704,408 = 154,087.36 : x
  2. Step 2: Convert to fraction form
    469,704/704,408 = 154,087.36/x
  3. Step 3: Cross multiply
    469,704x = 704,408 × 154,087.36
  4. Step 4: Simplify right side
    469,704x = 108,540,369,082.88
  5. Step 5: Solve for x
    x = 108,540,369,082.88/469,704
  6. Step 6: Final answer
    x = 231,082.49

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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.