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Finding the Fourth Proportional to 517,648.74, 776,659.94 and 180,739.02

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Solution

The fourth proportional to 517,648.74, 776,659.94 and 180,739.02 is: 271,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,648.74 : 776,659.94 = 180,739.02 : x
  2. Step 2: Convert to fraction form
    517,648.74/776,659.94 = 180,739.02/x
  3. Step 3: Cross multiply
    517,648.74x = 776,659.94 × 180,739.02
  4. Step 4: Simplify right side
    517,648.74x = 140,372,755,525.16
  5. Step 5: Solve for x
    x = 140,372,755,525.16/517,648.74
  6. Step 6: Final answer
    x = 271,173.76

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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.