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Finding the Fourth Proportional to 500,458.46, 690,633 and 271,017.54

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Solution

The fourth proportional to 500,458.46, 690,633 and 271,017.54 is: 374,004.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,458.46 : 690,633 = 271,017.54 : x
  2. Step 2: Convert to fraction form
    500,458.46/690,633 = 271,017.54/x
  3. Step 3: Cross multiply
    500,458.46x = 690,633 × 271,017.54
  4. Step 4: Simplify right side
    500,458.46x = 187,173,656,702.82
  5. Step 5: Solve for x
    x = 187,173,656,702.82/500,458.46
  6. Step 6: Final answer
    x = 374,004.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.