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Finding the Fourth Proportional to 471,701.88, 650,940.16 and 256,838.04

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Solution

The fourth proportional to 471,701.88, 650,940.16 and 256,838.04 is: 354,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,701.88 : 650,940.16 = 256,838.04 : x
  2. Step 2: Convert to fraction form
    471,701.88/650,940.16 = 256,838.04/x
  3. Step 3: Cross multiply
    471,701.88x = 650,940.16 × 256,838.04
  4. Step 4: Simplify right side
    471,701.88x = 167,186,194,851.69
  5. Step 5: Solve for x
    x = 167,186,194,851.69/471,701.88
  6. Step 6: Final answer
    x = 354,431.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.