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Finding the Fourth Proportional to 308,427.96, 462,688.02 and 98,072.76

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Solution

The fourth proportional to 308,427.96, 462,688.02 and 98,072.76 is: 147,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,427.96 : 462,688.02 = 98,072.76 : x
  2. Step 2: Convert to fraction form
    308,427.96/462,688.02 = 98,072.76/x
  3. Step 3: Cross multiply
    308,427.96x = 462,688.02 × 98,072.76
  4. Step 4: Simplify right side
    308,427.96x = 45,377,091,140.34
  5. Step 5: Solve for x
    x = 45,377,091,140.34/308,427.96
  6. Step 6: Final answer
    x = 147,123.79

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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.