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Finding the Fourth Proportional to 546,833.20, 819,635.40 and 280,490.80

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Solution

The fourth proportional to 546,833.20, 819,635.40 and 280,490.80 is: 420,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,833.20 : 819,635.40 = 280,490.80 : x
  2. Step 2: Convert to fraction form
    546,833.20/819,635.40 = 280,490.80/x
  3. Step 3: Cross multiply
    546,833.20x = 819,635.40 × 280,490.80
  4. Step 4: Simplify right side
    546,833.20x = 229,900,189,054.32
  5. Step 5: Solve for x
    x = 229,900,189,054.32/546,833.20
  6. Step 6: Final answer
    x = 420,421.05

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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.