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Finding the Fourth Proportional to 414,931.10, 620,963.05 and 248,838.30

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Solution

The fourth proportional to 414,931.10, 620,963.05 and 248,838.30 is: 372,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,931.10 : 620,963.05 = 248,838.30 : x
  2. Step 2: Convert to fraction form
    414,931.10/620,963.05 = 248,838.30/x
  3. Step 3: Cross multiply
    414,931.10x = 620,963.05 × 248,838.30
  4. Step 4: Simplify right side
    414,931.10x = 154,519,389,724.82
  5. Step 5: Solve for x
    x = 154,519,389,724.82/414,931.10
  6. Step 6: Final answer
    x = 372,397.71

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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.