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Finding the Fourth Proportional to 430,754.24, 646,235.40 and 135,266.24

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Solution

The fourth proportional to 430,754.24, 646,235.40 and 135,266.24 is: 202,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,754.24 : 646,235.40 = 135,266.24 : x
  2. Step 2: Convert to fraction form
    430,754.24/646,235.40 = 135,266.24/x
  3. Step 3: Cross multiply
    430,754.24x = 646,235.40 × 135,266.24
  4. Step 4: Simplify right side
    430,754.24x = 87,413,829,481.72
  5. Step 5: Solve for x
    x = 87,413,829,481.72/430,754.24
  6. Step 6: Final answer
    x = 202,932.03

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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.