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Finding the Fourth Proportional to 401,642.80, 602,043.84 and 135,311.28

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Solution

The fourth proportional to 401,642.80, 602,043.84 and 135,311.28 is: 202,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,642.80 : 602,043.84 = 135,311.28 : x
  2. Step 2: Convert to fraction form
    401,642.80/602,043.84 = 135,311.28/x
  3. Step 3: Cross multiply
    401,642.80x = 602,043.84 × 135,311.28
  4. Step 4: Simplify right side
    401,642.80x = 81,463,322,606.52
  5. Step 5: Solve for x
    x = 81,463,322,606.52/401,642.80
  6. Step 6: Final answer
    x = 202,825.30

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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.