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Finding the Fourth Proportional to 500,501.70, 690,692.40 and 274,147.20

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Solution

The fourth proportional to 500,501.70, 690,692.40 and 274,147.20 is: 378,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,501.70 : 690,692.40 = 274,147.20 : x
  2. Step 2: Convert to fraction form
    500,501.70/690,692.40 = 274,147.20/x
  3. Step 3: Cross multiply
    500,501.70x = 690,692.40 × 274,147.20
  4. Step 4: Simplify right side
    500,501.70x = 189,351,387,521.28
  5. Step 5: Solve for x
    x = 189,351,387,521.28/500,501.70
  6. Step 6: Final answer
    x = 378,323.17

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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.