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Finding the Fourth Proportional to 346,806, 520,209 and 84,150

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Solution

The fourth proportional to 346,806, 520,209 and 84,150 is: 126,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,806 : 520,209 = 84,150 : x
  2. Step 2: Convert to fraction form
    346,806/520,209 = 84,150/x
  3. Step 3: Cross multiply
    346,806x = 520,209 × 84,150
  4. Step 4: Simplify right side
    346,806x = 43,775,587,350
  5. Step 5: Solve for x
    x = 43,775,587,350/346,806
  6. Step 6: Final answer
    x = 126,225

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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.