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Finding the Fourth Proportional to 444,065.32, 612,814.98 and 242,857

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Solution

The fourth proportional to 444,065.32, 612,814.98 and 242,857 is: 335,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,065.32 : 612,814.98 = 242,857 : x
  2. Step 2: Convert to fraction form
    444,065.32/612,814.98 = 242,857/x
  3. Step 3: Cross multiply
    444,065.32x = 612,814.98 × 242,857
  4. Step 4: Simplify right side
    444,065.32x = 148,826,407,597.86
  5. Step 5: Solve for x
    x = 148,826,407,597.86/444,065.32
  6. Step 6: Final answer
    x = 335,145.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.