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Finding the Fourth Proportional to 570,740,845.82, 787,626,398.31 and 309,980,461.82

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Solution

The fourth proportional to 570,740,845.82, 787,626,398.31 and 309,980,461.82 is: 427,775,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,740,845.82 : 787,626,398.31 = 309,980,461.82 : x
  2. Step 2: Convert to fraction form
    570,740,845.82/787,626,398.31 = 309,980,461.82/x
  3. Step 3: Cross multiply
    570,740,845.82x = 787,626,398.31 × 309,980,461.82
  4. Step 4: Simplify right side
    570,740,845.82x = 244,148,794,689,757,056
  5. Step 5: Solve for x
    x = 244,148,794,689,757,056/570,740,845.82
  6. Step 6: Final answer
    x = 427,775,226.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.