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Finding the Fourth Proportional to 438,808.40, 658,018.20 and 202,223.60

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Solution

The fourth proportional to 438,808.40, 658,018.20 and 202,223.60 is: 303,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,808.40 : 658,018.20 = 202,223.60 : x
  2. Step 2: Convert to fraction form
    438,808.40/658,018.20 = 202,223.60/x
  3. Step 3: Cross multiply
    438,808.40x = 658,018.20 × 202,223.60
  4. Step 4: Simplify right side
    438,808.40x = 133,066,809,269.52
  5. Step 5: Solve for x
    x = 133,066,809,269.52/438,808.40
  6. Step 6: Final answer
    x = 303,245.81

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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.