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Finding the Fourth Proportional to 292,015.89, 402,982.53 and 157,879.89

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Solution

The fourth proportional to 292,015.89, 402,982.53 and 157,879.89 is: 217,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,015.89 : 402,982.53 = 157,879.89 : x
  2. Step 2: Convert to fraction form
    292,015.89/402,982.53 = 157,879.89/x
  3. Step 3: Cross multiply
    292,015.89x = 402,982.53 × 157,879.89
  4. Step 4: Simplify right side
    292,015.89x = 63,622,837,508.32
  5. Step 5: Solve for x
    x = 63,622,837,508.32/292,015.89
  6. Step 6: Final answer
    x = 217,874.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.