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Finding the Fourth Proportional to 412,038.82, 620,865.85 and 338,799.64

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Solution

The fourth proportional to 412,038.82, 620,865.85 and 338,799.64 is: 510,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,038.82 : 620,865.85 = 338,799.64 : x
  2. Step 2: Convert to fraction form
    412,038.82/620,865.85 = 338,799.64/x
  3. Step 3: Cross multiply
    412,038.82x = 620,865.85 × 338,799.64
  4. Step 4: Simplify right side
    412,038.82x = 210,349,126,468.29
  5. Step 5: Solve for x
    x = 210,349,126,468.29/412,038.82
  6. Step 6: Final answer
    x = 510,508.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.