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Finding the Fourth Proportional to 453,656.81, 680,583.62 and 138,105.51

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Solution

The fourth proportional to 453,656.81, 680,583.62 and 138,105.51 is: 207,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,656.81 : 680,583.62 = 138,105.51 : x
  2. Step 2: Convert to fraction form
    453,656.81/680,583.62 = 138,105.51/x
  3. Step 3: Cross multiply
    453,656.81x = 680,583.62 × 138,105.51
  4. Step 4: Simplify right side
    453,656.81x = 93,992,348,283.01
  5. Step 5: Solve for x
    x = 93,992,348,283.01/453,656.81
  6. Step 6: Final answer
    x = 207,188.23

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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.