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Finding the Fourth Proportional to 309,283.08, 463,998.42 and 109,620.90

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Solution

The fourth proportional to 309,283.08, 463,998.42 and 109,620.90 is: 164,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,283.08 : 463,998.42 = 109,620.90 : x
  2. Step 2: Convert to fraction form
    309,283.08/463,998.42 = 109,620.90/x
  3. Step 3: Cross multiply
    309,283.08x = 463,998.42 × 109,620.90
  4. Step 4: Simplify right side
    309,283.08x = 50,863,924,398.98
  5. Step 5: Solve for x
    x = 50,863,924,398.98/309,283.08
  6. Step 6: Final answer
    x = 164,457.51

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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.