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Finding the Fourth Proportional to 543,005.40, 814,508.10 and 342,676.20

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Solution

The fourth proportional to 543,005.40, 814,508.10 and 342,676.20 is: 514,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,005.40 : 814,508.10 = 342,676.20 : x
  2. Step 2: Convert to fraction form
    543,005.40/814,508.10 = 342,676.20/x
  3. Step 3: Cross multiply
    543,005.40x = 814,508.10 × 342,676.20
  4. Step 4: Simplify right side
    543,005.40x = 279,112,540,577.22
  5. Step 5: Solve for x
    x = 279,112,540,577.22/543,005.40
  6. Step 6: Final answer
    x = 514,014.30

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Similar ratio
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1.5x scale

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.