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Finding the Fourth Proportional to 309,328.80, 463,723.20 and 119,918.40

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Solution

The fourth proportional to 309,328.80, 463,723.20 and 119,918.40 is: 179,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,328.80 : 463,723.20 = 119,918.40 : x
  2. Step 2: Convert to fraction form
    309,328.80/463,723.20 = 119,918.40/x
  3. Step 3: Cross multiply
    309,328.80x = 463,723.20 × 119,918.40
  4. Step 4: Simplify right side
    309,328.80x = 55,608,944,186.88
  5. Step 5: Solve for x
    x = 55,608,944,186.88/309,328.80
  6. Step 6: Final answer
    x = 179,772.93

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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.