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Finding the Fourth Proportional to 308,536.78, 462,815.35 and 106,130.85

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Solution

The fourth proportional to 308,536.78, 462,815.35 and 106,130.85 is: 159,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,536.78 : 462,815.35 = 106,130.85 : x
  2. Step 2: Convert to fraction form
    308,536.78/462,815.35 = 106,130.85/x
  3. Step 3: Cross multiply
    308,536.78x = 462,815.35 × 106,130.85
  4. Step 4: Simplify right side
    308,536.78x = 49,118,986,488.55
  5. Step 5: Solve for x
    x = 49,118,986,488.55/308,536.78
  6. Step 6: Final answer
    x = 159,199.78

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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.