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Finding the Fourth Proportional to 368,439.88, 508,444.50 and 209,463.88

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Solution

The fourth proportional to 368,439.88, 508,444.50 and 209,463.88 is: 289,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,439.88 : 508,444.50 = 209,463.88 : x
  2. Step 2: Convert to fraction form
    368,439.88/508,444.50 = 209,463.88/x
  3. Step 3: Cross multiply
    368,439.88x = 508,444.50 × 209,463.88
  4. Step 4: Simplify right side
    368,439.88x = 106,500,757,734.66
  5. Step 5: Solve for x
    x = 106,500,757,734.66/368,439.88
  6. Step 6: Final answer
    x = 289,058.71

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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.