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Finding the Fourth Proportional to 386,105.84, 578,009.64 and 345,558.32

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Solution

The fourth proportional to 386,105.84, 578,009.64 and 345,558.32 is: 517,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,105.84 : 578,009.64 = 345,558.32 : x
  2. Step 2: Convert to fraction form
    386,105.84/578,009.64 = 345,558.32/x
  3. Step 3: Cross multiply
    386,105.84x = 578,009.64 × 345,558.32
  4. Step 4: Simplify right side
    386,105.84x = 199,736,040,142.21
  5. Step 5: Solve for x
    x = 199,736,040,142.21/386,105.84
  6. Step 6: Final answer
    x = 517,309.04

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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.