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Finding the Fourth Proportional to 384,538.56, 576,428.76 and 135,045.60

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Solution

The fourth proportional to 384,538.56, 576,428.76 and 135,045.60 is: 202,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,538.56 : 576,428.76 = 135,045.60 : x
  2. Step 2: Convert to fraction form
    384,538.56/576,428.76 = 135,045.60/x
  3. Step 3: Cross multiply
    384,538.56x = 576,428.76 × 135,045.60
  4. Step 4: Simplify right side
    384,538.56x = 77,844,167,751.46
  5. Step 5: Solve for x
    x = 77,844,167,751.46/384,538.56
  6. Step 6: Final answer
    x = 202,435.27

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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.