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Finding the Fourth Proportional to 611,296.80, 916,945.20 and 445,408.80

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Solution

The fourth proportional to 611,296.80, 916,945.20 and 445,408.80 is: 668,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,296.80 : 916,945.20 = 445,408.80 : x
  2. Step 2: Convert to fraction form
    611,296.80/916,945.20 = 445,408.80/x
  3. Step 3: Cross multiply
    611,296.80x = 916,945.20 × 445,408.80
  4. Step 4: Simplify right side
    611,296.80x = 408,415,461,197.76
  5. Step 5: Solve for x
    x = 408,415,461,197.76/611,296.80
  6. Step 6: Final answer
    x = 668,113.20

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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.