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Finding the Fourth Proportional to 215,508.74, 297,380.77 and 120,024.32

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Solution

The fourth proportional to 215,508.74, 297,380.77 and 120,024.32 is: 165,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,508.74 : 297,380.77 = 120,024.32 : x
  2. Step 2: Convert to fraction form
    215,508.74/297,380.77 = 120,024.32/x
  3. Step 3: Cross multiply
    215,508.74x = 297,380.77 × 120,024.32
  4. Step 4: Simplify right side
    215,508.74x = 35,692,922,913.36
  5. Step 5: Solve for x
    x = 35,692,922,913.36/215,508.74
  6. Step 6: Final answer
    x = 165,621.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.