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Finding the Fourth Proportional to 308,921.10, 463,338.45 and 98,580.30

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Solution

The fourth proportional to 308,921.10, 463,338.45 and 98,580.30 is: 147,856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,921.10 : 463,338.45 = 98,580.30 : x
  2. Step 2: Convert to fraction form
    308,921.10/463,338.45 = 98,580.30/x
  3. Step 3: Cross multiply
    308,921.10x = 463,338.45 × 98,580.30
  4. Step 4: Simplify right side
    308,921.10x = 45,676,043,402.54
  5. Step 5: Solve for x
    x = 45,676,043,402.54/308,921.10
  6. Step 6: Final answer
    x = 147,856.66

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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.