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Finding the Fourth Proportional to 368,439, 508,445.82 and 209,463

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Solution

The fourth proportional to 368,439, 508,445.82 and 209,463 is: 289,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,439 : 508,445.82 = 209,463 : x
  2. Step 2: Convert to fraction form
    368,439/508,445.82 = 209,463/x
  3. Step 3: Cross multiply
    368,439x = 508,445.82 × 209,463
  4. Step 4: Simplify right side
    368,439x = 106,500,586,794.66
  5. Step 5: Solve for x
    x = 106,500,586,794.66/368,439
  6. Step 6: Final answer
    x = 289,058.94

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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.