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Finding the Fourth Proportional to 493,312.28, 739,885 and 138,244.64

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Solution

The fourth proportional to 493,312.28, 739,885 and 138,244.64 is: 207,343.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,312.28 : 739,885 = 138,244.64 : x
  2. Step 2: Convert to fraction form
    493,312.28/739,885 = 138,244.64/x
  3. Step 3: Cross multiply
    493,312.28x = 739,885 × 138,244.64
  4. Step 4: Simplify right side
    493,312.28x = 102,285,135,466.40
  5. Step 5: Solve for x
    x = 102,285,135,466.40/493,312.28
  6. Step 6: Final answer
    x = 207,343.58

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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.