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Finding the Fourth Proportional to 505,097.40, 757,639.62 and 145,277.04

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Solution

The fourth proportional to 505,097.40, 757,639.62 and 145,277.04 is: 217,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,097.40 : 757,639.62 = 145,277.04 : x
  2. Step 2: Convert to fraction form
    505,097.40/757,639.62 = 145,277.04/x
  3. Step 3: Cross multiply
    505,097.40x = 757,639.62 × 145,277.04
  4. Step 4: Simplify right side
    505,097.40x = 110,067,641,380.33
  5. Step 5: Solve for x
    x = 110,067,641,380.33/505,097.40
  6. Step 6: Final answer
    x = 217,913.70

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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.