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Finding the Fourth Proportional to 298,957.50, 412,561.35 and 164,821.50

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Solution

The fourth proportional to 298,957.50, 412,561.35 and 164,821.50 is: 227,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,957.50 : 412,561.35 = 164,821.50 : x
  2. Step 2: Convert to fraction form
    298,957.50/412,561.35 = 164,821.50/x
  3. Step 3: Cross multiply
    298,957.50x = 412,561.35 × 164,821.50
  4. Step 4: Simplify right side
    298,957.50x = 67,998,980,549.03
  5. Step 5: Solve for x
    x = 67,998,980,549.03/298,957.50
  6. Step 6: Final answer
    x = 227,453.67

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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.