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Finding the Fourth Proportional to 368,442, 508,449.96 and 209,466

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Solution

The fourth proportional to 368,442, 508,449.96 and 209,466 is: 289,063.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,442 : 508,449.96 = 209,466 : x
  2. Step 2: Convert to fraction form
    368,442/508,449.96 = 209,466/x
  3. Step 3: Cross multiply
    368,442x = 508,449.96 × 209,466
  4. Step 4: Simplify right side
    368,442x = 106,502,979,321.36
  5. Step 5: Solve for x
    x = 106,502,979,321.36/368,442
  6. Step 6: Final answer
    x = 289,063.08

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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.