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Finding the Fourth Proportional to 500,703.40, 690,970.98 and 274,348.84

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Solution

The fourth proportional to 500,703.40, 690,970.98 and 274,348.84 is: 378,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,703.40 : 690,970.98 = 274,348.84 : x
  2. Step 2: Convert to fraction form
    500,703.40/690,970.98 = 274,348.84/x
  3. Step 3: Cross multiply
    500,703.40x = 690,970.98 × 274,348.84
  4. Step 4: Simplify right side
    500,703.40x = 189,567,086,836.66
  5. Step 5: Solve for x
    x = 189,567,086,836.66/500,703.40
  6. Step 6: Final answer
    x = 378,601.56

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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.