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Finding the Fourth Proportional to 412,209, 618,401.70 and 127,893.42

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Solution

The fourth proportional to 412,209, 618,401.70 and 127,893.42 is: 191,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,209 : 618,401.70 = 127,893.42 : x
  2. Step 2: Convert to fraction form
    412,209/618,401.70 = 127,893.42/x
  3. Step 3: Cross multiply
    412,209x = 618,401.70 × 127,893.42
  4. Step 4: Simplify right side
    412,209x = 79,089,508,346.81
  5. Step 5: Solve for x
    x = 79,089,508,346.81/412,209
  6. Step 6: Final answer
    x = 191,867.50

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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.