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Finding the Fourth Proportional to 495,471.88, 743,236.08 and 140,458

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Solution

The fourth proportional to 495,471.88, 743,236.08 and 140,458 is: 210,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,471.88 : 743,236.08 = 140,458 : x
  2. Step 2: Convert to fraction form
    495,471.88/743,236.08 = 140,458/x
  3. Step 3: Cross multiply
    495,471.88x = 743,236.08 × 140,458
  4. Step 4: Simplify right side
    495,471.88x = 104,393,453,324.64
  5. Step 5: Solve for x
    x = 104,393,453,324.64/495,471.88
  6. Step 6: Final answer
    x = 210,695.01

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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.