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Finding the Fourth Proportional to 386,103.84, 578,006.64 and 345,556.32

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Solution

The fourth proportional to 386,103.84, 578,006.64 and 345,556.32 is: 517,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,103.84 : 578,006.64 = 345,556.32 : x
  2. Step 2: Convert to fraction form
    386,103.84/578,006.64 = 345,556.32/x
  3. Step 3: Cross multiply
    386,103.84x = 578,006.64 × 345,556.32
  4. Step 4: Simplify right side
    386,103.84x = 199,733,847,453.97
  5. Step 5: Solve for x
    x = 199,733,847,453.97/386,103.84
  6. Step 6: Final answer
    x = 517,306.04

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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.