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Finding the Fourth Proportional to 421,515.90, 631,978.20 and 155,241.90

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Solution

The fourth proportional to 421,515.90, 631,978.20 and 155,241.90 is: 232,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,515.90 : 631,978.20 = 155,241.90 : x
  2. Step 2: Convert to fraction form
    421,515.90/631,978.20 = 155,241.90/x
  3. Step 3: Cross multiply
    421,515.90x = 631,978.20 × 155,241.90
  4. Step 4: Simplify right side
    421,515.90x = 98,109,496,526.58
  5. Step 5: Solve for x
    x = 98,109,496,526.58/421,515.90
  6. Step 6: Final answer
    x = 232,753.96

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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.