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Finding the Fourth Proportional to 409,628.40, 614,442.60 and 339,644.40

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Solution

The fourth proportional to 409,628.40, 614,442.60 and 339,644.40 is: 509,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,628.40 : 614,442.60 = 339,644.40 : x
  2. Step 2: Convert to fraction form
    409,628.40/614,442.60 = 339,644.40/x
  3. Step 3: Cross multiply
    409,628.40x = 614,442.60 × 339,644.40
  4. Step 4: Simplify right side
    409,628.40x = 208,691,988,211.44
  5. Step 5: Solve for x
    x = 208,691,988,211.44/409,628.40
  6. Step 6: Final answer
    x = 509,466.60

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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.