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Finding the Fourth Proportional to 346,206, 519,309 and 83,550

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Solution

The fourth proportional to 346,206, 519,309 and 83,550 is: 125,325

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,206 : 519,309 = 83,550 : x
  2. Step 2: Convert to fraction form
    346,206/519,309 = 83,550/x
  3. Step 3: Cross multiply
    346,206x = 519,309 × 83,550
  4. Step 4: Simplify right side
    346,206x = 43,388,266,950
  5. Step 5: Solve for x
    x = 43,388,266,950/346,206
  6. Step 6: Final answer
    x = 125,325

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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.