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Finding the Fourth Proportional to 542,833.10, 814,256.49 and 143,470.35

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Solution

The fourth proportional to 542,833.10, 814,256.49 and 143,470.35 is: 215,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,833.10 : 814,256.49 = 143,470.35 : x
  2. Step 2: Convert to fraction form
    542,833.10/814,256.49 = 143,470.35/x
  3. Step 3: Cross multiply
    542,833.10x = 814,256.49 × 143,470.35
  4. Step 4: Simplify right side
    542,833.10x = 116,821,663,610.07
  5. Step 5: Solve for x
    x = 116,821,663,610.07/542,833.10
  6. Step 6: Final answer
    x = 215,207.33

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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.