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Finding the Fourth Proportional to 500,511.79, 690,702.83 and 271,063.80

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Solution

The fourth proportional to 500,511.79, 690,702.83 and 271,063.80 is: 374,066.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,511.79 : 690,702.83 = 271,063.80 : x
  2. Step 2: Convert to fraction form
    500,511.79/690,702.83 = 271,063.80/x
  3. Step 3: Cross multiply
    500,511.79x = 690,702.83 × 271,063.80
  4. Step 4: Simplify right side
    500,511.79x = 187,224,533,770.55
  5. Step 5: Solve for x
    x = 187,224,533,770.55/500,511.79
  6. Step 6: Final answer
    x = 374,066.18

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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.