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Finding the Fourth Proportional to 401,289.78, 553,779.77 and 219,997.82

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Solution

The fourth proportional to 401,289.78, 553,779.77 and 219,997.82 is: 303,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,289.78 : 553,779.77 = 219,997.82 : x
  2. Step 2: Convert to fraction form
    401,289.78/553,779.77 = 219,997.82/x
  3. Step 3: Cross multiply
    401,289.78x = 553,779.77 × 219,997.82
  4. Step 4: Simplify right side
    401,289.78x = 121,830,341,060.11
  5. Step 5: Solve for x
    x = 121,830,341,060.11/401,289.78
  6. Step 6: Final answer
    x = 303,596.92

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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.