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Finding the Fourth Proportional to 518,410, 715,405.80 and 279,946

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Solution

The fourth proportional to 518,410, 715,405.80 and 279,946 is: 386,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,410 : 715,405.80 = 279,946 : x
  2. Step 2: Convert to fraction form
    518,410/715,405.80 = 279,946/x
  3. Step 3: Cross multiply
    518,410x = 715,405.80 × 279,946
  4. Step 4: Simplify right side
    518,410x = 200,274,992,086.80
  5. Step 5: Solve for x
    x = 200,274,992,086.80/518,410
  6. Step 6: Final answer
    x = 386,325.48

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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.