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Finding the Fourth Proportional to 305,985.84, 457,995.96 and 163,474.80

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Solution

The fourth proportional to 305,985.84, 457,995.96 and 163,474.80 is: 244,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,985.84 : 457,995.96 = 163,474.80 : x
  2. Step 2: Convert to fraction form
    305,985.84/457,995.96 = 163,474.80/x
  3. Step 3: Cross multiply
    305,985.84x = 457,995.96 × 163,474.80
  4. Step 4: Simplify right side
    305,985.84x = 74,870,797,961.81
  5. Step 5: Solve for x
    x = 74,870,797,961.81/305,985.84
  6. Step 6: Final answer
    x = 244,687.13

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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.