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Finding the Fourth Proportional to 542,820.80, 814,231.20 and 534,947.60

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Solution

The fourth proportional to 542,820.80, 814,231.20 and 534,947.60 is: 802,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,820.80 : 814,231.20 = 534,947.60 : x
  2. Step 2: Convert to fraction form
    542,820.80/814,231.20 = 534,947.60/x
  3. Step 3: Cross multiply
    542,820.80x = 814,231.20 × 534,947.60
  4. Step 4: Simplify right side
    542,820.80x = 435,571,026,285.12
  5. Step 5: Solve for x
    x = 435,571,026,285.12/542,820.80
  6. Step 6: Final answer
    x = 802,421.40

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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.