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Finding the Fourth Proportional to 392,053.77, 540,951.72 and 256,286.63

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Solution

The fourth proportional to 392,053.77, 540,951.72 and 256,286.63 is: 353,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,053.77 : 540,951.72 = 256,286.63 : x
  2. Step 2: Convert to fraction form
    392,053.77/540,951.72 = 256,286.63/x
  3. Step 3: Cross multiply
    392,053.77x = 540,951.72 × 256,286.63
  4. Step 4: Simplify right side
    392,053.77x = 138,638,693,702.81
  5. Step 5: Solve for x
    x = 138,638,693,702.81/392,053.77
  6. Step 6: Final answer
    x = 353,621.63

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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.