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Finding the Fourth Proportional to 438,601.86, 657,372.65 and 213,625.17

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Solution

The fourth proportional to 438,601.86, 657,372.65 and 213,625.17 is: 320,179.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,601.86 : 657,372.65 = 213,625.17 : x
  2. Step 2: Convert to fraction form
    438,601.86/657,372.65 = 213,625.17/x
  3. Step 3: Cross multiply
    438,601.86x = 657,372.65 × 213,625.17
  4. Step 4: Simplify right side
    438,601.86x = 140,431,346,307.72
  5. Step 5: Solve for x
    x = 140,431,346,307.72/438,601.86
  6. Step 6: Final answer
    x = 320,179.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.