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Finding the Fourth Proportional to 403,638.16, 605,247.02 and 150,710.64

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Solution

The fourth proportional to 403,638.16, 605,247.02 and 150,710.64 is: 225,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,638.16 : 605,247.02 = 150,710.64 : x
  2. Step 2: Convert to fraction form
    403,638.16/605,247.02 = 150,710.64/x
  3. Step 3: Cross multiply
    403,638.16x = 605,247.02 × 150,710.64
  4. Step 4: Simplify right side
    403,638.16x = 91,217,165,742.29
  5. Step 5: Solve for x
    x = 91,217,165,742.29/403,638.16
  6. Step 6: Final answer
    x = 225,987.47

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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.