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Finding the Fourth Proportional to 305,476.84, 458,361.06 and 147,617.56

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Solution

The fourth proportional to 305,476.84, 458,361.06 and 147,617.56 is: 221,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,476.84 : 458,361.06 = 147,617.56 : x
  2. Step 2: Convert to fraction form
    305,476.84/458,361.06 = 147,617.56/x
  3. Step 3: Cross multiply
    305,476.84x = 458,361.06 × 147,617.56
  4. Step 4: Simplify right side
    305,476.84x = 67,662,141,276.21
  5. Step 5: Solve for x
    x = 67,662,141,276.21/305,476.84
  6. Step 6: Final answer
    x = 221,496.80

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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.