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Finding the Fourth Proportional to 421,160.80, 631,774.32 and 140,679.04

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Solution

The fourth proportional to 421,160.80, 631,774.32 and 140,679.04 is: 211,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,160.80 : 631,774.32 = 140,679.04 : x
  2. Step 2: Convert to fraction form
    421,160.80/631,774.32 = 140,679.04/x
  3. Step 3: Cross multiply
    421,160.80x = 631,774.32 × 140,679.04
  4. Step 4: Simplify right side
    421,160.80x = 88,877,404,834.25
  5. Step 5: Solve for x
    x = 88,877,404,834.25/421,160.80
  6. Step 6: Final answer
    x = 211,029.62

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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.