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Finding the Fourth Proportional to 405,569, 608,309.69 and 135,666.54

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Solution

The fourth proportional to 405,569, 608,309.69 and 135,666.54 is: 203,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,569 : 608,309.69 = 135,666.54 : x
  2. Step 2: Convert to fraction form
    405,569/608,309.69 = 135,666.54/x
  3. Step 3: Cross multiply
    405,569x = 608,309.69 × 135,666.54
  4. Step 4: Simplify right side
    405,569x = 82,527,270,890.77
  5. Step 5: Solve for x
    x = 82,527,270,890.77/405,569
  6. Step 6: Final answer
    x = 203,485.16

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1.5x scale

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.