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Finding the Fourth Proportional to 412,290.76, 618,524.34 and 127,975.10

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Solution

The fourth proportional to 412,290.76, 618,524.34 and 127,975.10 is: 191,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,290.76 : 618,524.34 = 127,975.10 : x
  2. Step 2: Convert to fraction form
    412,290.76/618,524.34 = 127,975.10/x
  3. Step 3: Cross multiply
    412,290.76x = 618,524.34 × 127,975.10
  4. Step 4: Simplify right side
    412,290.76x = 79,155,714,263.93
  5. Step 5: Solve for x
    x = 79,155,714,263.93/412,290.76
  6. Step 6: Final answer
    x = 191,990.03

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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.