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Finding the Fourth Proportional to 384,190.92, 530,183.16 and 212,109.12

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Solution

The fourth proportional to 384,190.92, 530,183.16 and 212,109.12 is: 292,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,190.92 : 530,183.16 = 212,109.12 : x
  2. Step 2: Convert to fraction form
    384,190.92/530,183.16 = 212,109.12/x
  3. Step 3: Cross multiply
    384,190.92x = 530,183.16 × 212,109.12
  4. Step 4: Simplify right side
    384,190.92x = 112,456,683,506.42
  5. Step 5: Solve for x
    x = 112,456,683,506.42/384,190.92
  6. Step 6: Final answer
    x = 292,710.41

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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.