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Finding the Fourth Proportional to 286,800.20, 430,213.10 and 109,392.20

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Solution

The fourth proportional to 286,800.20, 430,213.10 and 109,392.20 is: 164,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,800.20 : 430,213.10 = 109,392.20 : x
  2. Step 2: Convert to fraction form
    286,800.20/430,213.10 = 109,392.20/x
  3. Step 3: Cross multiply
    286,800.20x = 430,213.10 × 109,392.20
  4. Step 4: Simplify right side
    286,800.20x = 47,061,957,477.82
  5. Step 5: Solve for x
    x = 47,061,957,477.82/286,800.20
  6. Step 6: Final answer
    x = 164,093.18

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1.5x scale

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.