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Finding the Fourth Proportional to 288,966.84, 398,816.55 and 166,435.67

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Solution

The fourth proportional to 288,966.84, 398,816.55 and 166,435.67 is: 229,705.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,966.84 : 398,816.55 = 166,435.67 : x
  2. Step 2: Convert to fraction form
    288,966.84/398,816.55 = 166,435.67/x
  3. Step 3: Cross multiply
    288,966.84x = 398,816.55 × 166,435.67
  4. Step 4: Simplify right side
    288,966.84x = 66,377,297,712.26
  5. Step 5: Solve for x
    x = 66,377,297,712.26/288,966.84
  6. Step 6: Final answer
    x = 229,705.59

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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.