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Finding the Fourth Proportional to 407,745.52, 611,462.53 and 134,128.13

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Solution

The fourth proportional to 407,745.52, 611,462.53 and 134,128.13 is: 201,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,745.52 : 611,462.53 = 134,128.13 : x
  2. Step 2: Convert to fraction form
    407,745.52/611,462.53 = 134,128.13/x
  3. Step 3: Cross multiply
    407,745.52x = 611,462.53 × 134,128.13
  4. Step 4: Simplify right side
    407,745.52x = 82,014,322,824.32
  5. Step 5: Solve for x
    x = 82,014,322,824.32/407,745.52
  6. Step 6: Final answer
    x = 201,140.96

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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.