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Finding the Fourth Proportional to 398,808.56, 598,212.84 and 118,325.81

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Solution

The fourth proportional to 398,808.56, 598,212.84 and 118,325.81 is: 177,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,808.56 : 598,212.84 = 118,325.81 : x
  2. Step 2: Convert to fraction form
    398,808.56/598,212.84 = 118,325.81/x
  3. Step 3: Cross multiply
    398,808.56x = 598,212.84 × 118,325.81
  4. Step 4: Simplify right side
    398,808.56x = 70,784,020,784.65
  5. Step 5: Solve for x
    x = 70,784,020,784.65/398,808.56
  6. Step 6: Final answer
    x = 177,488.72

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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.