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Finding the Fourth Proportional to 500,465.55, 690,692.13 and 285,638.06

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Solution

The fourth proportional to 500,465.55, 690,692.13 and 285,638.06 is: 394,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,465.55 : 690,692.13 = 285,638.06 : x
  2. Step 2: Convert to fraction form
    500,465.55/690,692.13 = 285,638.06/x
  3. Step 3: Cross multiply
    500,465.55x = 690,692.13 × 285,638.06
  4. Step 4: Simplify right side
    500,465.55x = 197,287,956,617.01
  5. Step 5: Solve for x
    x = 197,287,956,617.01/500,465.55
  6. Step 6: Final answer
    x = 394,208.87

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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.