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Finding the Fourth Proportional to 400,160.40, 552,269 and 230,427.60

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Solution

The fourth proportional to 400,160.40, 552,269 and 230,427.60 is: 318,017.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,160.40 : 552,269 = 230,427.60 : x
  2. Step 2: Convert to fraction form
    400,160.40/552,269 = 230,427.60/x
  3. Step 3: Cross multiply
    400,160.40x = 552,269 × 230,427.60
  4. Step 4: Simplify right side
    400,160.40x = 127,258,020,224.40
  5. Step 5: Solve for x
    x = 127,258,020,224.40/400,160.40
  6. Step 6: Final answer
    x = 318,017.53

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1.5x scale

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.