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Finding the Fourth Proportional to 286,594.08, 429,891.10 and 128,638

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Solution

The fourth proportional to 286,594.08, 429,891.10 and 128,638 is: 192,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.08 : 429,891.10 = 128,638 : x
  2. Step 2: Convert to fraction form
    286,594.08/429,891.10 = 128,638/x
  3. Step 3: Cross multiply
    286,594.08x = 429,891.10 × 128,638
  4. Step 4: Simplify right side
    286,594.08x = 55,300,331,321.80
  5. Step 5: Solve for x
    x = 55,300,331,321.80/286,594.08
  6. Step 6: Final answer
    x = 192,956.99

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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.