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Finding the Fourth Proportional to 613,236, 846,278.64 and 344,964

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Solution

The fourth proportional to 613,236, 846,278.64 and 344,964 is: 476,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,236 : 846,278.64 = 344,964 : x
  2. Step 2: Convert to fraction form
    613,236/846,278.64 = 344,964/x
  3. Step 3: Cross multiply
    613,236x = 846,278.64 × 344,964
  4. Step 4: Simplify right side
    613,236x = 291,935,664,768.96
  5. Step 5: Solve for x
    x = 291,935,664,768.96/613,236
  6. Step 6: Final answer
    x = 476,057.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.