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Finding the Fourth Proportional to 445,955.76, 668,466 and 146,359.44

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Solution

The fourth proportional to 445,955.76, 668,466 and 146,359.44 is: 219,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,955.76 : 668,466 = 146,359.44 : x
  2. Step 2: Convert to fraction form
    445,955.76/668,466 = 146,359.44/x
  3. Step 3: Cross multiply
    445,955.76x = 668,466 × 146,359.44
  4. Step 4: Simplify right side
    445,955.76x = 97,836,309,419.04
  5. Step 5: Solve for x
    x = 97,836,309,419.04/445,955.76
  6. Step 6: Final answer
    x = 219,385.68

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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.