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Finding the Fourth Proportional to 419,242.96, 578,554.41 and 228,254.68

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Solution

The fourth proportional to 419,242.96, 578,554.41 and 228,254.68 is: 314,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,242.96 : 578,554.41 = 228,254.68 : x
  2. Step 2: Convert to fraction form
    419,242.96/578,554.41 = 228,254.68/x
  3. Step 3: Cross multiply
    419,242.96x = 578,554.41 × 228,254.68
  4. Step 4: Simplify right side
    419,242.96x = 132,057,751,717.14
  5. Step 5: Solve for x
    x = 132,057,751,717.14/419,242.96
  6. Step 6: Final answer
    x = 314,990.98

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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.