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Finding the Fourth Proportional to 405,439.90, 608,462.79 and 152,969.38

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Solution

The fourth proportional to 405,439.90, 608,462.79 and 152,969.38 is: 229,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,439.90 : 608,462.79 = 152,969.38 : x
  2. Step 2: Convert to fraction form
    405,439.90/608,462.79 = 152,969.38/x
  3. Step 3: Cross multiply
    405,439.90x = 608,462.79 × 152,969.38
  4. Step 4: Simplify right side
    405,439.90x = 93,076,175,739.37
  5. Step 5: Solve for x
    x = 93,076,175,739.37/405,439.90
  6. Step 6: Final answer
    x = 229,568.37

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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.