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Finding the Fourth Proportional to 453,665.63, 680,597.19 and 138,114.34

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Solution

The fourth proportional to 453,665.63, 680,597.19 and 138,114.34 is: 207,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,665.63 : 680,597.19 = 138,114.34 : x
  2. Step 2: Convert to fraction form
    453,665.63/680,597.19 = 138,114.34/x
  3. Step 3: Cross multiply
    453,665.63x = 680,597.19 × 138,114.34
  4. Step 4: Simplify right side
    453,665.63x = 94,000,230,001.21
  5. Step 5: Solve for x
    x = 94,000,230,001.21/453,665.63
  6. Step 6: Final answer
    x = 207,201.57

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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.