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Finding the Fourth Proportional to 401,342.86, 553,878.03 and 222,494.86

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Solution

The fourth proportional to 401,342.86, 553,878.03 and 222,494.86 is: 307,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,342.86 : 553,878.03 = 222,494.86 : x
  2. Step 2: Convert to fraction form
    401,342.86/553,878.03 = 222,494.86/x
  3. Step 3: Cross multiply
    401,342.86x = 553,878.03 × 222,494.86
  4. Step 4: Simplify right side
    401,342.86x = 123,235,014,741.93
  5. Step 5: Solve for x
    x = 123,235,014,741.93/401,342.86
  6. Step 6: Final answer
    x = 307,056.70

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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.