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Finding the Fourth Proportional to 384,821.90, 530,994.74 and 215,023.22

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Solution

The fourth proportional to 384,821.90, 530,994.74 and 215,023.22 is: 296,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,821.90 : 530,994.74 = 215,023.22 : x
  2. Step 2: Convert to fraction form
    384,821.90/530,994.74 = 215,023.22/x
  3. Step 3: Cross multiply
    384,821.90x = 530,994.74 × 215,023.22
  4. Step 4: Simplify right side
    384,821.90x = 114,176,198,797.86
  5. Step 5: Solve for x
    x = 114,176,198,797.86/384,821.90
  6. Step 6: Final answer
    x = 296,698.81

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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.