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Finding the Fourth Proportional to 542,241.56, 813,409.32 and 142,879.16

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Solution

The fourth proportional to 542,241.56, 813,409.32 and 142,879.16 is: 214,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,241.56 : 813,409.32 = 142,879.16 : x
  2. Step 2: Convert to fraction form
    542,241.56/813,409.32 = 142,879.16/x
  3. Step 3: Cross multiply
    542,241.56x = 813,409.32 × 142,879.16
  4. Step 4: Simplify right side
    542,241.56x = 116,219,240,377.77
  5. Step 5: Solve for x
    x = 116,219,240,377.77/542,241.56
  6. Step 6: Final answer
    x = 214,331.12

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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.