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Finding the Fourth Proportional to 420,692.50, 631,038.75 and 125,204.50

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Solution

The fourth proportional to 420,692.50, 631,038.75 and 125,204.50 is: 187,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,692.50 : 631,038.75 = 125,204.50 : x
  2. Step 2: Convert to fraction form
    420,692.50/631,038.75 = 125,204.50/x
  3. Step 3: Cross multiply
    420,692.50x = 631,038.75 × 125,204.50
  4. Step 4: Simplify right side
    420,692.50x = 79,008,891,174.38
  5. Step 5: Solve for x
    x = 79,008,891,174.38/420,692.50
  6. Step 6: Final answer
    x = 187,806.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.