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Finding the Fourth Proportional to 367,887.82, 507,678.40 and 206,740.55

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Solution

The fourth proportional to 367,887.82, 507,678.40 and 206,740.55 is: 285,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,887.82 : 507,678.40 = 206,740.55 : x
  2. Step 2: Convert to fraction form
    367,887.82/507,678.40 = 206,740.55/x
  3. Step 3: Cross multiply
    367,887.82x = 507,678.40 × 206,740.55
  4. Step 4: Simplify right side
    367,887.82x = 104,957,711,639.12
  5. Step 5: Solve for x
    x = 104,957,711,639.12/367,887.82
  6. Step 6: Final answer
    x = 285,298.14

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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.