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Finding the Fourth Proportional to 453,637, 680,258.94 and 138,020.68

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Solution

The fourth proportional to 453,637, 680,258.94 and 138,020.68 is: 206,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,637 : 680,258.94 = 138,020.68 : x
  2. Step 2: Convert to fraction form
    453,637/680,258.94 = 138,020.68/x
  3. Step 3: Cross multiply
    453,637x = 680,258.94 × 138,020.68
  4. Step 4: Simplify right side
    453,637x = 93,889,801,474.88
  5. Step 5: Solve for x
    x = 93,889,801,474.88/453,637
  6. Step 6: Final answer
    x = 206,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.