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Finding the Fourth Proportional to 308,959.65, 463,439.48 and 98,618.85

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Solution

The fourth proportional to 308,959.65, 463,439.48 and 98,618.85 is: 147,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,959.65 : 463,439.48 = 98,618.85 : x
  2. Step 2: Convert to fraction form
    308,959.65/463,439.48 = 98,618.85/x
  3. Step 3: Cross multiply
    308,959.65x = 463,439.48 × 98,618.85
  4. Step 4: Simplify right side
    308,959.65x = 45,703,868,069.10
  5. Step 5: Solve for x
    x = 45,703,868,069.10/308,959.65
  6. Step 6: Final answer
    x = 147,928.28

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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.