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Finding the Fourth Proportional to 491,462.64, 737,153.46 and 136,485

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Solution

The fourth proportional to 491,462.64, 737,153.46 and 136,485 is: 204,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,462.64 : 737,153.46 = 136,485 : x
  2. Step 2: Convert to fraction form
    491,462.64/737,153.46 = 136,485/x
  3. Step 3: Cross multiply
    491,462.64x = 737,153.46 × 136,485
  4. Step 4: Simplify right side
    491,462.64x = 100,610,389,988.10
  5. Step 5: Solve for x
    x = 100,610,389,988.10/491,462.64
  6. Step 6: Final answer
    x = 204,716.25

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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.