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Finding the Fourth Proportional to 546,151.21, 819,095.49 and 279,774.61

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Solution

The fourth proportional to 546,151.21, 819,095.49 and 279,774.61 is: 419,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,151.21 : 819,095.49 = 279,774.61 : x
  2. Step 2: Convert to fraction form
    546,151.21/819,095.49 = 279,774.61/x
  3. Step 3: Cross multiply
    546,151.21x = 819,095.49 × 279,774.61
  4. Step 4: Simplify right side
    546,151.21x = 229,162,119,219.77
  5. Step 5: Solve for x
    x = 229,162,119,219.77/546,151.21
  6. Step 6: Final answer
    x = 419,594.64

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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.