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Finding the Fourth Proportional to 268,629.40, 403,130.40 and 202,209.40

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Solution

The fourth proportional to 268,629.40, 403,130.40 and 202,209.40 is: 303,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,629.40 : 403,130.40 = 202,209.40 : x
  2. Step 2: Convert to fraction form
    268,629.40/403,130.40 = 202,209.40/x
  3. Step 3: Cross multiply
    268,629.40x = 403,130.40 × 202,209.40
  4. Step 4: Simplify right side
    268,629.40x = 81,516,756,305.76
  5. Step 5: Solve for x
    x = 81,516,756,305.76/268,629.40
  6. Step 6: Final answer
    x = 303,454.34

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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.