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Finding the Fourth Proportional to 421,040.30, 631,602.96 and 136,718.96

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Solution

The fourth proportional to 421,040.30, 631,602.96 and 136,718.96 is: 205,092.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,040.30 : 631,602.96 = 136,718.96 : x
  2. Step 2: Convert to fraction form
    421,040.30/631,602.96 = 136,718.96/x
  3. Step 3: Cross multiply
    421,040.30x = 631,602.96 × 136,718.96
  4. Step 4: Simplify right side
    421,040.30x = 86,352,099,824.12
  5. Step 5: Solve for x
    x = 86,352,099,824.12/421,040.30
  6. Step 6: Final answer
    x = 205,092.24

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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.