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Finding the Fourth Proportional to 453,712.72, 680,670.68 and 138,194.32

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Solution

The fourth proportional to 453,712.72, 680,670.68 and 138,194.32 is: 207,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,712.72 : 680,670.68 = 138,194.32 : x
  2. Step 2: Convert to fraction form
    453,712.72/680,670.68 = 138,194.32/x
  3. Step 3: Cross multiply
    453,712.72x = 680,670.68 × 138,194.32
  4. Step 4: Simplify right side
    453,712.72x = 94,064,821,766.54
  5. Step 5: Solve for x
    x = 94,064,821,766.54/453,712.72
  6. Step 6: Final answer
    x = 207,322.43

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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.