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Finding the Fourth Proportional to 453,924.60, 680,984.10 and 138,413.40

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Solution

The fourth proportional to 453,924.60, 680,984.10 and 138,413.40 is: 207,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,924.60 : 680,984.10 = 138,413.40 : x
  2. Step 2: Convert to fraction form
    453,924.60/680,984.10 = 138,413.40/x
  3. Step 3: Cross multiply
    453,924.60x = 680,984.10 × 138,413.40
  4. Step 4: Simplify right side
    453,924.60x = 94,257,324,626.94
  5. Step 5: Solve for x
    x = 94,257,324,626.94/453,924.60
  6. Step 6: Final answer
    x = 207,649.74

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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.