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Finding the Fourth Proportional to 265,243.70, 397,869.71 and 147,662.35

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Solution

The fourth proportional to 265,243.70, 397,869.71 and 147,662.35 is: 221,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,243.70 : 397,869.71 = 147,662.35 : x
  2. Step 2: Convert to fraction form
    265,243.70/397,869.71 = 147,662.35/x
  3. Step 3: Cross multiply
    265,243.70x = 397,869.71 × 147,662.35
  4. Step 4: Simplify right side
    265,243.70x = 58,750,374,639.43
  5. Step 5: Solve for x
    x = 58,750,374,639.43/265,243.70
  6. Step 6: Final answer
    x = 221,495.83

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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.