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Finding the Fourth Proportional to 368,438, 508,444.44 and 209,462

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Solution

The fourth proportional to 368,438, 508,444.44 and 209,462 is: 289,057.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,438 : 508,444.44 = 209,462 : x
  2. Step 2: Convert to fraction form
    368,438/508,444.44 = 209,462/x
  3. Step 3: Cross multiply
    368,438x = 508,444.44 × 209,462
  4. Step 4: Simplify right side
    368,438x = 106,499,789,291.28
  5. Step 5: Solve for x
    x = 106,499,789,291.28/368,438
  6. Step 6: Final answer
    x = 289,057.56

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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.