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Finding the Fourth Proportional to 471,215.16, 650,262.12 and 256,349.76

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Solution

The fourth proportional to 471,215.16, 650,262.12 and 256,349.76 is: 353,754.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,215.16 : 650,262.12 = 256,349.76 : x
  2. Step 2: Convert to fraction form
    471,215.16/650,262.12 = 256,349.76/x
  3. Step 3: Cross multiply
    471,215.16x = 650,262.12 × 256,349.76
  4. Step 4: Simplify right side
    471,215.16x = 166,694,538,399.09
  5. Step 5: Solve for x
    x = 166,694,538,399.09/471,215.16
  6. Step 6: Final answer
    x = 353,754.62

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1.5x scale

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.