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Finding the Fourth Proportional to 438,378.82, 657,039.48 and 213,402.04

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Solution

The fourth proportional to 438,378.82, 657,039.48 and 213,402.04 is: 319,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,378.82 : 657,039.48 = 213,402.04 : x
  2. Step 2: Convert to fraction form
    438,378.82/657,039.48 = 213,402.04/x
  3. Step 3: Cross multiply
    438,378.82x = 657,039.48 × 213,402.04
  4. Step 4: Simplify right side
    438,378.82x = 140,213,565,392.54
  5. Step 5: Solve for x
    x = 140,213,565,392.54/438,378.82
  6. Step 6: Final answer
    x = 319,845.67

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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.