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Finding the Fourth Proportional to 398,396.76, 597,545.40 and 161,511.84

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Solution

The fourth proportional to 398,396.76, 597,545.40 and 161,511.84 is: 242,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,396.76 : 597,545.40 = 161,511.84 : x
  2. Step 2: Convert to fraction form
    398,396.76/597,545.40 = 161,511.84/x
  3. Step 3: Cross multiply
    398,396.76x = 597,545.40 × 161,511.84
  4. Step 4: Simplify right side
    398,396.76x = 96,510,657,037.54
  5. Step 5: Solve for x
    x = 96,510,657,037.54/398,396.76
  6. Step 6: Final answer
    x = 242,247.60

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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.