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Finding the Fourth Proportional to 423,141.98, 634,728.09 and 142,661.66

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Solution

The fourth proportional to 423,141.98, 634,728.09 and 142,661.66 is: 213,997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,141.98 : 634,728.09 = 142,661.66 : x
  2. Step 2: Convert to fraction form
    423,141.98/634,728.09 = 142,661.66/x
  3. Step 3: Cross multiply
    423,141.98x = 634,728.09 × 142,661.66
  4. Step 4: Simplify right side
    423,141.98x = 90,551,362,968.03
  5. Step 5: Solve for x
    x = 90,551,362,968.03/423,141.98
  6. Step 6: Final answer
    x = 213,997.59

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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.