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Finding the Fourth Proportional to 684,842.06, 944,502.14 and 412,850.34

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Solution

The fourth proportional to 684,842.06, 944,502.14 and 412,850.34 is: 569,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,842.06 : 944,502.14 = 412,850.34 : x
  2. Step 2: Convert to fraction form
    684,842.06/944,502.14 = 412,850.34/x
  3. Step 3: Cross multiply
    684,842.06x = 944,502.14 × 412,850.34
  4. Step 4: Simplify right side
    684,842.06x = 389,938,029,629.73
  5. Step 5: Solve for x
    x = 389,938,029,629.73/684,842.06
  6. Step 6: Final answer
    x = 569,383.88

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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.