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Finding the Fourth Proportional to 419,238.96, 578,530.56 and 228,252

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Solution

The fourth proportional to 419,238.96, 578,530.56 and 228,252 is: 314,977.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,238.96 : 578,530.56 = 228,252 : x
  2. Step 2: Convert to fraction form
    419,238.96/578,530.56 = 228,252/x
  3. Step 3: Cross multiply
    419,238.96x = 578,530.56 × 228,252
  4. Step 4: Simplify right side
    419,238.96x = 132,050,757,381.12
  5. Step 5: Solve for x
    x = 132,050,757,381.12/419,238.96
  6. Step 6: Final answer
    x = 314,977.30

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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.