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Finding the Fourth Proportional to 430,695.72, 646,145.82 and 135,207.72

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Solution

The fourth proportional to 430,695.72, 646,145.82 and 135,207.72 is: 202,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,695.72 : 646,145.82 = 135,207.72 : x
  2. Step 2: Convert to fraction form
    430,695.72/646,145.82 = 135,207.72/x
  3. Step 3: Cross multiply
    430,695.72x = 646,145.82 × 135,207.72
  4. Step 4: Simplify right side
    430,695.72x = 87,363,903,109.73
  5. Step 5: Solve for x
    x = 87,363,903,109.73/430,695.72
  6. Step 6: Final answer
    x = 202,843.68

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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.