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Finding the Fourth Proportional to 419,086.84, 578,352.12 and 228,112.60

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Solution

The fourth proportional to 419,086.84, 578,352.12 and 228,112.60 is: 314,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,086.84 : 578,352.12 = 228,112.60 : x
  2. Step 2: Convert to fraction form
    419,086.84/578,352.12 = 228,112.60/x
  3. Step 3: Cross multiply
    419,086.84x = 578,352.12 × 228,112.60
  4. Step 4: Simplify right side
    419,086.84x = 131,929,405,808.71
  5. Step 5: Solve for x
    x = 131,929,405,808.71/419,086.84
  6. Step 6: Final answer
    x = 314,802.07

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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.