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Finding the Fourth Proportional to 309,747.84, 464,790.96 and 120,215.68

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Solution

The fourth proportional to 309,747.84, 464,790.96 and 120,215.68 is: 180,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,747.84 : 464,790.96 = 120,215.68 : x
  2. Step 2: Convert to fraction form
    309,747.84/464,790.96 = 120,215.68/x
  3. Step 3: Cross multiply
    309,747.84x = 464,790.96 × 120,215.68
  4. Step 4: Simplify right side
    309,747.84x = 55,875,161,314.25
  5. Step 5: Solve for x
    x = 55,875,161,314.25/309,747.84
  6. Step 6: Final answer
    x = 180,389.19

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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.