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Finding the Fourth Proportional to 403,980.94, 557,468.62 and 222,683.50

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Solution

The fourth proportional to 403,980.94, 557,468.62 and 222,683.50 is: 307,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,980.94 : 557,468.62 = 222,683.50 : x
  2. Step 2: Convert to fraction form
    403,980.94/557,468.62 = 222,683.50/x
  3. Step 3: Cross multiply
    403,980.94x = 557,468.62 × 222,683.50
  4. Step 4: Simplify right side
    403,980.94x = 124,139,063,441.77
  5. Step 5: Solve for x
    x = 124,139,063,441.77/403,980.94
  6. Step 6: Final answer
    x = 307,289.41

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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.