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Finding the Fourth Proportional to 453,698.68, 680,649.72 and 138,180.28

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Solution

The fourth proportional to 453,698.68, 680,649.72 and 138,180.28 is: 207,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,698.68 : 680,649.72 = 138,180.28 : x
  2. Step 2: Convert to fraction form
    453,698.68/680,649.72 = 138,180.28/x
  3. Step 3: Cross multiply
    453,698.68x = 680,649.72 × 138,180.28
  4. Step 4: Simplify right side
    453,698.68x = 94,052,368,891.52
  5. Step 5: Solve for x
    x = 94,052,368,891.52/453,698.68
  6. Step 6: Final answer
    x = 207,301.39

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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.