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Finding the Fourth Proportional to 421,091.04, 631,735.70 and 136,780.70

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Solution

The fourth proportional to 421,091.04, 631,735.70 and 136,780.70 is: 205,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,091.04 : 631,735.70 = 136,780.70 : x
  2. Step 2: Convert to fraction form
    421,091.04/631,735.70 = 136,780.70/x
  3. Step 3: Cross multiply
    421,091.04x = 631,735.70 × 136,780.70
  4. Step 4: Simplify right side
    421,091.04x = 86,409,251,260.99
  5. Step 5: Solve for x
    x = 86,409,251,260.99/421,091.04
  6. Step 6: Final answer
    x = 205,203.25

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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.