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Finding the Fourth Proportional to 382,408.00, 527,738.10 and 210,341.98

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Solution

The fourth proportional to 382,408.00, 527,738.10 and 210,341.98 is: 290,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,408.00 : 527,738.10 = 210,341.98 : x
  2. Step 2: Convert to fraction form
    382,408.00/527,738.10 = 210,341.98/x
  3. Step 3: Cross multiply
    382,408.00x = 527,738.10 × 210,341.98
  4. Step 4: Simplify right side
    382,408.00x = 111,005,474,701.05
  5. Step 5: Solve for x
    x = 111,005,474,701.05/382,408.00
  6. Step 6: Final answer
    x = 290,280.21

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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.