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Finding the Fourth Proportional to 471,691.08, 650,918.52 and 256,829.40

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Solution

The fourth proportional to 471,691.08, 650,918.52 and 256,829.40 is: 354,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,691.08 : 650,918.52 = 256,829.40 : x
  2. Step 2: Convert to fraction form
    471,691.08/650,918.52 = 256,829.40/x
  3. Step 3: Cross multiply
    471,691.08x = 650,918.52 × 256,829.40
  4. Step 4: Simplify right side
    471,691.08x = 167,175,012,940.49
  5. Step 5: Solve for x
    x = 167,175,012,940.49/471,691.08
  6. Step 6: Final answer
    x = 354,416.31

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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.