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Finding the Fourth Proportional to 262,992,009.90, 394,488,014.85 and 109,748,045.10

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Solution

The fourth proportional to 262,992,009.90, 394,488,014.85 and 109,748,045.10 is: 164,622,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,992,009.90 : 394,488,014.85 = 109,748,045.10 : x
  2. Step 2: Convert to fraction form
    262,992,009.90/394,488,014.85 = 109,748,045.10/x
  3. Step 3: Cross multiply
    262,992,009.90x = 394,488,014.85 × 109,748,045.10
  4. Step 4: Simplify right side
    262,992,009.90x = 43,294,288,445,167,272
  5. Step 5: Solve for x
    x = 43,294,288,445,167,272/262,992,009.90
  6. Step 6: Final answer
    x = 164,622,067.65

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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.