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Finding the Fourth Proportional to 497,892.70, 746,950.09 and 142,879.06

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Solution

The fourth proportional to 497,892.70, 746,950.09 and 142,879.06 is: 214,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,892.70 : 746,950.09 = 142,879.06 : x
  2. Step 2: Convert to fraction form
    497,892.70/746,950.09 = 142,879.06/x
  3. Step 3: Cross multiply
    497,892.70x = 746,950.09 × 142,879.06
  4. Step 4: Simplify right side
    497,892.70x = 106,723,526,726.12
  5. Step 5: Solve for x
    x = 106,723,526,726.12/497,892.70
  6. Step 6: Final answer
    x = 214,350.45

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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.