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Finding the Fourth Proportional to 654,455.40, 982,604.70 and 405,623.40

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Solution

The fourth proportional to 654,455.40, 982,604.70 and 405,623.40 is: 609,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,455.40 : 982,604.70 = 405,623.40 : x
  2. Step 2: Convert to fraction form
    654,455.40/982,604.70 = 405,623.40/x
  3. Step 3: Cross multiply
    654,455.40x = 982,604.70 × 405,623.40
  4. Step 4: Simplify right side
    654,455.40x = 398,567,459,269.98
  5. Step 5: Solve for x
    x = 398,567,459,269.98/654,455.40
  6. Step 6: Final answer
    x = 609,006.30

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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.