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Finding the Fourth Proportional to 420,871.80, 631,307.70 and 105,328.20

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Solution

The fourth proportional to 420,871.80, 631,307.70 and 105,328.20 is: 157,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,871.80 : 631,307.70 = 105,328.20 : x
  2. Step 2: Convert to fraction form
    420,871.80/631,307.70 = 105,328.20/x
  3. Step 3: Cross multiply
    420,871.80x = 631,307.70 × 105,328.20
  4. Step 4: Simplify right side
    420,871.80x = 66,494,503,687.14
  5. Step 5: Solve for x
    x = 66,494,503,687.14/420,871.80
  6. Step 6: Final answer
    x = 157,992.30

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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.