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Finding the Fourth Proportional to 453,642, 680,561.34 and 138,090.66

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Solution

The fourth proportional to 453,642, 680,561.34 and 138,090.66 is: 207,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,642 : 680,561.34 = 138,090.66 : x
  2. Step 2: Convert to fraction form
    453,642/680,561.34 = 138,090.66/x
  3. Step 3: Cross multiply
    453,642x = 680,561.34 × 138,090.66
  4. Step 4: Simplify right side
    453,642x = 93,979,164,611.08
  5. Step 5: Solve for x
    x = 93,979,164,611.08/453,642
  6. Step 6: Final answer
    x = 207,165.93

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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.