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Finding the Fourth Proportional to 407,852.20, 611,864.70 and 123,519.40

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Solution

The fourth proportional to 407,852.20, 611,864.70 and 123,519.40 is: 185,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,852.20 : 611,864.70 = 123,519.40 : x
  2. Step 2: Convert to fraction form
    407,852.20/611,864.70 = 123,519.40/x
  3. Step 3: Cross multiply
    407,852.20x = 611,864.70 × 123,519.40
  4. Step 4: Simplify right side
    407,852.20x = 75,577,160,625.18
  5. Step 5: Solve for x
    x = 75,577,160,625.18/407,852.20
  6. Step 6: Final answer
    x = 185,305.27

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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.