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Finding the Fourth Proportional to 318,930,775.20, 447,712,408.80 and 318,930,775.20

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Solution

The fourth proportional to 318,930,775.20, 447,712,408.80 and 318,930,775.20 is: 447,712,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,930,775.20 : 447,712,408.80 = 318,930,775.20 : x
  2. Step 2: Convert to fraction form
    318,930,775.20/447,712,408.80 = 318,930,775.20/x
  3. Step 3: Cross multiply
    318,930,775.20x = 447,712,408.80 × 318,930,775.20
  4. Step 4: Simplify right side
    318,930,775.20x = 142,789,265,605,243,296
  5. Step 5: Solve for x
    x = 142,789,265,605,243,296/318,930,775.20
  6. Step 6: Final answer
    x = 447,712,408.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.