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Finding the Fourth Proportional to 546,838.20, 819,601.20 and 280,461.60

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Solution

The fourth proportional to 546,838.20, 819,601.20 and 280,461.60 is: 420,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,838.20 : 819,601.20 = 280,461.60 : x
  2. Step 2: Convert to fraction form
    546,838.20/819,601.20 = 280,461.60/x
  3. Step 3: Cross multiply
    546,838.20x = 819,601.20 × 280,461.60
  4. Step 4: Simplify right side
    546,838.20x = 229,866,663,913.92
  5. Step 5: Solve for x
    x = 229,866,663,913.92/546,838.20
  6. Step 6: Final answer
    x = 420,355.90

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1.5x scale

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.