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Finding the Fourth Proportional to 405,771, 608,537.50 and 152,869

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Solution

The fourth proportional to 405,771, 608,537.50 and 152,869 is: 229,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,771 : 608,537.50 = 152,869 : x
  2. Step 2: Convert to fraction form
    405,771/608,537.50 = 152,869/x
  3. Step 3: Cross multiply
    405,771x = 608,537.50 × 152,869
  4. Step 4: Simplify right side
    405,771x = 93,026,519,087.50
  5. Step 5: Solve for x
    x = 93,026,519,087.50/405,771
  6. Step 6: Final answer
    x = 229,258.67

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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.