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Finding the Fourth Proportional to 419,072.56, 578,332.40 and 228,098.32

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Solution

The fourth proportional to 419,072.56, 578,332.40 and 228,098.32 is: 314,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,072.56 : 578,332.40 = 228,098.32 : x
  2. Step 2: Convert to fraction form
    419,072.56/578,332.40 = 228,098.32/x
  3. Step 3: Cross multiply
    419,072.56x = 578,332.40 × 228,098.32
  4. Step 4: Simplify right side
    419,072.56x = 131,916,647,701.08
  5. Step 5: Solve for x
    x = 131,916,647,701.08/419,072.56
  6. Step 6: Final answer
    x = 314,782.36

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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.