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Finding the Fourth Proportional to 386,002.64, 578,363.72 and 273,123.33

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Solution

The fourth proportional to 386,002.64, 578,363.72 and 273,123.33 is: 409,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,002.64 : 578,363.72 = 273,123.33 : x
  2. Step 2: Convert to fraction form
    386,002.64/578,363.72 = 273,123.33/x
  3. Step 3: Cross multiply
    386,002.64x = 578,363.72 × 273,123.33
  4. Step 4: Simplify right side
    386,002.64x = 157,964,623,791.97
  5. Step 5: Solve for x
    x = 157,964,623,791.97/386,002.64
  6. Step 6: Final answer
    x = 409,231.98

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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.