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Finding the Fourth Proportional to 680,502.15, 1,020,067.04 and 427,963.08

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Solution

The fourth proportional to 680,502.15, 1,020,067.04 and 427,963.08 is: 641,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,502.15 : 1,020,067.04 = 427,963.08 : x
  2. Step 2: Convert to fraction form
    680,502.15/1,020,067.04 = 427,963.08/x
  3. Step 3: Cross multiply
    680,502.15x = 1,020,067.04 × 427,963.08
  4. Step 4: Simplify right side
    680,502.15x = 436,551,030,105.07
  5. Step 5: Solve for x
    x = 436,551,030,105.07/680,502.15
  6. Step 6: Final answer
    x = 641,513.08

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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.