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Finding the Fourth Proportional to 309,330.80, 463,998.94 and 122,342.32

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Solution

The fourth proportional to 309,330.80, 463,998.94 and 122,342.32 is: 183,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,330.80 : 463,998.94 = 122,342.32 : x
  2. Step 2: Convert to fraction form
    309,330.80/463,998.94 = 122,342.32/x
  3. Step 3: Cross multiply
    309,330.80x = 463,998.94 × 122,342.32
  4. Step 4: Simplify right side
    309,330.80x = 56,766,706,797.14
  5. Step 5: Solve for x
    x = 56,766,706,797.14/309,330.80
  6. Step 6: Final answer
    x = 183,514.56

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1.5x scale

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.