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Finding the Fourth Proportional to 438,371.80, 657,816.90 and 319,744.60

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Solution

The fourth proportional to 438,371.80, 657,816.90 and 319,744.60 is: 479,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,371.80 : 657,816.90 = 319,744.60 : x
  2. Step 2: Convert to fraction form
    438,371.80/657,816.90 = 319,744.60/x
  3. Step 3: Cross multiply
    438,371.80x = 657,816.90 × 319,744.60
  4. Step 4: Simplify right side
    438,371.80x = 210,333,401,563.74
  5. Step 5: Solve for x
    x = 210,333,401,563.74/438,371.80
  6. Step 6: Final answer
    x = 479,805.96

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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.