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Finding the Fourth Proportional to 409,793.40, 614,690.10 and 378,300.60

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Solution

The fourth proportional to 409,793.40, 614,690.10 and 378,300.60 is: 567,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,793.40 : 614,690.10 = 378,300.60 : x
  2. Step 2: Convert to fraction form
    409,793.40/614,690.10 = 378,300.60/x
  3. Step 3: Cross multiply
    409,793.40x = 614,690.10 × 378,300.60
  4. Step 4: Simplify right side
    409,793.40x = 232,537,633,644.06
  5. Step 5: Solve for x
    x = 232,537,633,644.06/409,793.40
  6. Step 6: Final answer
    x = 567,450.90

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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.