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Finding the Fourth Proportional to 438,571.31, 657,327.20 and 213,594.62

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Solution

The fourth proportional to 438,571.31, 657,327.20 and 213,594.62 is: 320,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,571.31 : 657,327.20 = 213,594.62 : x
  2. Step 2: Convert to fraction form
    438,571.31/657,327.20 = 213,594.62/x
  3. Step 3: Cross multiply
    438,571.31x = 657,327.20 × 213,594.62
  4. Step 4: Simplify right side
    438,571.31x = 140,401,549,145.06
  5. Step 5: Solve for x
    x = 140,401,549,145.06/438,571.31
  6. Step 6: Final answer
    x = 320,133.92

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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.