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Finding the Fourth Proportional to 392,006.85, 540,903.88 and 230,893.98

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Solution

The fourth proportional to 392,006.85, 540,903.88 and 230,893.98 is: 318,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,006.85 : 540,903.88 = 230,893.98 : x
  2. Step 2: Convert to fraction form
    392,006.85/540,903.88 = 230,893.98/x
  3. Step 3: Cross multiply
    392,006.85x = 540,903.88 × 230,893.98
  4. Step 4: Simplify right side
    392,006.85x = 124,891,449,650.64
  5. Step 5: Solve for x
    x = 124,891,449,650.64/392,006.85
  6. Step 6: Final answer
    x = 318,595.07

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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.