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Finding the Fourth Proportional to 318,930,761.70, 447,712,389.90 and 318,930,761.70

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Solution

The fourth proportional to 318,930,761.70, 447,712,389.90 and 318,930,761.70 is: 447,712,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,930,761.70 : 447,712,389.90 = 318,930,761.70 : x
  2. Step 2: Convert to fraction form
    318,930,761.70/447,712,389.90 = 318,930,761.70/x
  3. Step 3: Cross multiply
    318,930,761.70x = 447,712,389.90 × 318,930,761.70
  4. Step 4: Simplify right side
    318,930,761.70x = 142,789,253,533,334,368
  5. Step 5: Solve for x
    x = 142,789,253,533,334,368/318,930,761.70
  6. Step 6: Final answer
    x = 447,712,389.90

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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.