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Finding the Fourth Proportional to 453,986.91, 680,978.54 and 138,442.91

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Solution

The fourth proportional to 453,986.91, 680,978.54 and 138,442.91 is: 207,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,986.91 : 680,978.54 = 138,442.91 : x
  2. Step 2: Convert to fraction form
    453,986.91/680,978.54 = 138,442.91/x
  3. Step 3: Cross multiply
    453,986.91x = 680,978.54 × 138,442.91
  4. Step 4: Simplify right side
    453,986.91x = 94,276,650,725.15
  5. Step 5: Solve for x
    x = 94,276,650,725.15/453,986.91
  6. Step 6: Final answer
    x = 207,663.81

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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.