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Finding the Fourth Proportional to 305,439.84, 458,049.96 and 105,706.02

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Solution

The fourth proportional to 305,439.84, 458,049.96 and 105,706.02 is: 158,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,439.84 : 458,049.96 = 105,706.02 : x
  2. Step 2: Convert to fraction form
    305,439.84/458,049.96 = 105,706.02/x
  3. Step 3: Cross multiply
    305,439.84x = 458,049.96 × 105,706.02
  4. Step 4: Simplify right side
    305,439.84x = 48,418,638,232.76
  5. Step 5: Solve for x
    x = 48,418,638,232.76/305,439.84
  6. Step 6: Final answer
    x = 158,521.03

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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.