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Finding the Fourth Proportional to 471,400.80, 650,519.52 and 256,536

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Solution

The fourth proportional to 471,400.80, 650,519.52 and 256,536 is: 354,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,400.80 : 650,519.52 = 256,536 : x
  2. Step 2: Convert to fraction form
    471,400.80/650,519.52 = 256,536/x
  3. Step 3: Cross multiply
    471,400.80x = 650,519.52 × 256,536
  4. Step 4: Simplify right side
    471,400.80x = 166,881,675,582.72
  5. Step 5: Solve for x
    x = 166,881,675,582.72/471,400.80
  6. Step 6: Final answer
    x = 354,012.29

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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.