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Finding the Fourth Proportional to 509,557.55, 703,198.35 and 280,124.50

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Solution

The fourth proportional to 509,557.55, 703,198.35 and 280,124.50 is: 386,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,557.55 : 703,198.35 = 280,124.50 : x
  2. Step 2: Convert to fraction form
    509,557.55/703,198.35 = 280,124.50/x
  3. Step 3: Cross multiply
    509,557.55x = 703,198.35 × 280,124.50
  4. Step 4: Simplify right side
    509,557.55x = 196,983,086,194.58
  5. Step 5: Solve for x
    x = 196,983,086,194.58/509,557.55
  6. Step 6: Final answer
    x = 386,576.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.