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Finding the Fourth Proportional to 252,769.50, 348,819 and 145,339.95

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Solution

The fourth proportional to 252,769.50, 348,819 and 145,339.95 is: 200,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,769.50 : 348,819 = 145,339.95 : x
  2. Step 2: Convert to fraction form
    252,769.50/348,819 = 145,339.95/x
  3. Step 3: Cross multiply
    252,769.50x = 348,819 × 145,339.95
  4. Step 4: Simplify right side
    252,769.50x = 50,697,336,019.05
  5. Step 5: Solve for x
    x = 50,697,336,019.05/252,769.50
  6. Step 6: Final answer
    x = 200,567.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.