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Finding the Fourth Proportional to 392,068.50, 540,855.02 and 256,181.88

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Solution

The fourth proportional to 392,068.50, 540,855.02 and 256,181.88 is: 353,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,068.50 : 540,855.02 = 256,181.88 : x
  2. Step 2: Convert to fraction form
    392,068.50/540,855.02 = 256,181.88/x
  3. Step 3: Cross multiply
    392,068.50x = 540,855.02 × 256,181.88
  4. Step 4: Simplify right side
    392,068.50x = 138,557,255,831.04
  5. Step 5: Solve for x
    x = 138,557,255,831.04/392,068.50
  6. Step 6: Final answer
    x = 353,400.63

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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.