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Finding the Fourth Proportional to 275,425,606.40, 413,138,409.60 and 259,641,808.70

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Solution

The fourth proportional to 275,425,606.40, 413,138,409.60 and 259,641,808.70 is: 389,462,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,425,606.40 : 413,138,409.60 = 259,641,808.70 : x
  2. Step 2: Convert to fraction form
    275,425,606.40/413,138,409.60 = 259,641,808.70/x
  3. Step 3: Cross multiply
    275,425,606.40x = 413,138,409.60 × 259,641,808.70
  4. Step 4: Simplify right side
    275,425,606.40x = 107,268,003,911,985,440
  5. Step 5: Solve for x
    x = 107,268,003,911,985,440/275,425,606.40
  6. Step 6: Final answer
    x = 389,462,713.05

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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.