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Finding the Fourth Proportional to 500,710.23, 690,980.54 and 274,355.73

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Solution

The fourth proportional to 500,710.23, 690,980.54 and 274,355.73 is: 378,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,710.23 : 690,980.54 = 274,355.73 : x
  2. Step 2: Convert to fraction form
    500,710.23/690,980.54 = 274,355.73/x
  3. Step 3: Cross multiply
    500,710.23x = 690,980.54 × 274,355.73
  4. Step 4: Simplify right side
    500,710.23x = 189,574,469,095.72
  5. Step 5: Solve for x
    x = 189,574,469,095.72/500,710.23
  6. Step 6: Final answer
    x = 378,611.14

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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.