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Finding the Fourth Proportional to 546,030.30, 818,717.40 and 280,309.80

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Solution

The fourth proportional to 546,030.30, 818,717.40 and 280,309.80 is: 420,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,030.30 : 818,717.40 = 280,309.80 : x
  2. Step 2: Convert to fraction form
    546,030.30/818,717.40 = 280,309.80/x
  3. Step 3: Cross multiply
    546,030.30x = 818,717.40 × 280,309.80
  4. Step 4: Simplify right side
    546,030.30x = 229,494,510,650.52
  5. Step 5: Solve for x
    x = 229,494,510,650.52/546,030.30
  6. Step 6: Final answer
    x = 420,296.29

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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.