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Finding the Fourth Proportional to 421,157.41, 631,801.44 and 177,999.51

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Solution

The fourth proportional to 421,157.41, 631,801.44 and 177,999.51 is: 267,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,157.41 : 631,801.44 = 177,999.51 : x
  2. Step 2: Convert to fraction form
    421,157.41/631,801.44 = 177,999.51/x
  3. Step 3: Cross multiply
    421,157.41x = 631,801.44 × 177,999.51
  4. Step 4: Simplify right side
    421,157.41x = 112,460,348,718.70
  5. Step 5: Solve for x
    x = 112,460,348,718.70/421,157.41
  6. Step 6: Final answer
    x = 267,026.88

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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.