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Finding the Fourth Proportional to 305,980.84, 457,988.46 and 163,469.80

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Solution

The fourth proportional to 305,980.84, 457,988.46 and 163,469.80 is: 244,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,980.84 : 457,988.46 = 163,469.80 : x
  2. Step 2: Convert to fraction form
    305,980.84/457,988.46 = 163,469.80/x
  3. Step 3: Cross multiply
    305,980.84x = 457,988.46 × 163,469.80
  4. Step 4: Simplify right side
    305,980.84x = 74,867,281,958.51
  5. Step 5: Solve for x
    x = 74,867,281,958.51/305,980.84
  6. Step 6: Final answer
    x = 244,679.64

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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.