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Finding the Fourth Proportional to 400,409.60, 600,128.40 and 231,605.60

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Solution

The fourth proportional to 400,409.60, 600,128.40 and 231,605.60 is: 347,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,409.60 : 600,128.40 = 231,605.60 : x
  2. Step 2: Convert to fraction form
    400,409.60/600,128.40 = 231,605.60/x
  3. Step 3: Cross multiply
    400,409.60x = 600,128.40 × 231,605.60
  4. Step 4: Simplify right side
    400,409.60x = 138,993,098,159.04
  5. Step 5: Solve for x
    x = 138,993,098,159.04/400,409.60
  6. Step 6: Final answer
    x = 347,127.29

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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.