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Finding the Fourth Proportional to 309,254.29, 463,893.68 and 147,109.39

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Solution

The fourth proportional to 309,254.29, 463,893.68 and 147,109.39 is: 220,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,254.29 : 463,893.68 = 147,109.39 : x
  2. Step 2: Convert to fraction form
    309,254.29/463,893.68 = 147,109.39/x
  3. Step 3: Cross multiply
    309,254.29x = 463,893.68 × 147,109.39
  4. Step 4: Simplify right side
    309,254.29x = 68,243,115,497.69
  5. Step 5: Solve for x
    x = 68,243,115,497.69/309,254.29
  6. Step 6: Final answer
    x = 220,669.91

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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.