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Finding the Fourth Proportional to 305,487.45, 458,231.18 and 147,848.49

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Solution

The fourth proportional to 305,487.45, 458,231.18 and 147,848.49 is: 221,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,487.45 : 458,231.18 = 147,848.49 : x
  2. Step 2: Convert to fraction form
    305,487.45/458,231.18 = 147,848.49/x
  3. Step 3: Cross multiply
    305,487.45x = 458,231.18 × 147,848.49
  4. Step 4: Simplify right side
    305,487.45x = 67,748,787,294.68
  5. Step 5: Solve for x
    x = 67,748,787,294.68/305,487.45
  6. Step 6: Final answer
    x = 221,772.74

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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.