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Finding the Fourth Proportional to 384,143.30, 530,147.13 and 212,094.44

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Solution

The fourth proportional to 384,143.30, 530,147.13 and 212,094.44 is: 292,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,143.30 : 530,147.13 = 212,094.44 : x
  2. Step 2: Convert to fraction form
    384,143.30/530,147.13 = 212,094.44/x
  3. Step 3: Cross multiply
    384,143.30x = 530,147.13 × 212,094.44
  4. Step 4: Simplify right side
    384,143.30x = 112,441,258,654.96
  5. Step 5: Solve for x
    x = 112,441,258,654.96/384,143.30
  6. Step 6: Final answer
    x = 292,706.55

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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.