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Finding the Fourth Proportional to 361,820.45, 542,347.64 and 121,705.77

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Solution

The fourth proportional to 361,820.45, 542,347.64 and 121,705.77 is: 182,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,820.45 : 542,347.64 = 121,705.77 : x
  2. Step 2: Convert to fraction form
    361,820.45/542,347.64 = 121,705.77/x
  3. Step 3: Cross multiply
    361,820.45x = 542,347.64 × 121,705.77
  4. Step 4: Simplify right side
    361,820.45x = 66,006,836,525.35
  5. Step 5: Solve for x
    x = 66,006,836,525.35/361,820.45
  6. Step 6: Final answer
    x = 182,429.81

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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.