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Finding the Fourth Proportional to 546,618.76, 819,927.92 and 280,209.36

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Solution

The fourth proportional to 546,618.76, 819,927.92 and 280,209.36 is: 420,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,618.76 : 819,927.92 = 280,209.36 : x
  2. Step 2: Convert to fraction form
    546,618.76/819,927.92 = 280,209.36/x
  3. Step 3: Cross multiply
    546,618.76x = 819,927.92 × 280,209.36
  4. Step 4: Simplify right side
    546,618.76x = 229,751,477,709.33
  5. Step 5: Solve for x
    x = 229,751,477,709.33/546,618.76
  6. Step 6: Final answer
    x = 420,313.93

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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.