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Finding the Fourth Proportional to 542,364.69, 813,454.53 and 143,009.37

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Solution

The fourth proportional to 542,364.69, 813,454.53 and 143,009.37 is: 214,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,364.69 : 813,454.53 = 143,009.37 : x
  2. Step 2: Convert to fraction form
    542,364.69/813,454.53 = 143,009.37/x
  3. Step 3: Cross multiply
    542,364.69x = 813,454.53 × 143,009.37
  4. Step 4: Simplify right side
    542,364.69x = 116,331,619,858.95
  5. Step 5: Solve for x
    x = 116,331,619,858.95/542,364.69
  6. Step 6: Final answer
    x = 214,489.66

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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.