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Finding the Fourth Proportional to 531,105.81, 796,783.23 and 211,275.84

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Solution

The fourth proportional to 531,105.81, 796,783.23 and 211,275.84 is: 316,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,105.81 : 796,783.23 = 211,275.84 : x
  2. Step 2: Convert to fraction form
    531,105.81/796,783.23 = 211,275.84/x
  3. Step 3: Cross multiply
    531,105.81x = 796,783.23 × 211,275.84
  4. Step 4: Simplify right side
    531,105.81x = 168,341,049,204.10
  5. Step 5: Solve for x
    x = 168,341,049,204.10/531,105.81
  6. Step 6: Final answer
    x = 316,963.30

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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.