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Finding the Fourth Proportional to 495,067.15, 744,186.30 and 459,965.80

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Solution

The fourth proportional to 495,067.15, 744,186.30 and 459,965.80 is: 691,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,067.15 : 744,186.30 = 459,965.80 : x
  2. Step 2: Convert to fraction form
    495,067.15/744,186.30 = 459,965.80/x
  3. Step 3: Cross multiply
    495,067.15x = 744,186.30 × 459,965.80
  4. Step 4: Simplify right side
    495,067.15x = 342,300,246,828.54
  5. Step 5: Solve for x
    x = 342,300,246,828.54/495,067.15
  6. Step 6: Final answer
    x = 691,421.85

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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.