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Finding the Fourth Proportional to 388,219.52, 581,856.94 and 207,861.58

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Solution

The fourth proportional to 388,219.52, 581,856.94 and 207,861.58 is: 311,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,219.52 : 581,856.94 = 207,861.58 : x
  2. Step 2: Convert to fraction form
    388,219.52/581,856.94 = 207,861.58/x
  3. Step 3: Cross multiply
    388,219.52x = 581,856.94 × 207,861.58
  4. Step 4: Simplify right side
    388,219.52x = 120,945,700,908.07
  5. Step 5: Solve for x
    x = 120,945,700,908.07/388,219.52
  6. Step 6: Final answer
    x = 311,539.47

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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.