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Finding the Fourth Proportional to 421,202.88, 631,140.12 and 154,596.60

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Solution

The fourth proportional to 421,202.88, 631,140.12 and 154,596.60 is: 231,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,202.88 : 631,140.12 = 154,596.60 : x
  2. Step 2: Convert to fraction form
    421,202.88/631,140.12 = 154,596.60/x
  3. Step 3: Cross multiply
    421,202.88x = 631,140.12 × 154,596.60
  4. Step 4: Simplify right side
    421,202.88x = 97,572,116,675.59
  5. Step 5: Solve for x
    x = 97,572,116,675.59/421,202.88
  6. Step 6: Final answer
    x = 231,651.11

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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.