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Finding the Fourth Proportional to 419,170.68, 578,455.53 and 228,185.46

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Solution

The fourth proportional to 419,170.68, 578,455.53 and 228,185.46 is: 314,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,170.68 : 578,455.53 = 228,185.46 : x
  2. Step 2: Convert to fraction form
    419,170.68/578,455.53 = 228,185.46/x
  3. Step 3: Cross multiply
    419,170.68x = 578,455.53 × 228,185.46
  4. Step 4: Simplify right side
    419,170.68x = 131,995,141,202.59
  5. Step 5: Solve for x
    x = 131,995,141,202.59/419,170.68
  6. Step 6: Final answer
    x = 314,895.93

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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.