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Finding the Fourth Proportional to 299,389.87, 412,456.21 and 208,581.58

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Solution

The fourth proportional to 299,389.87, 412,456.21 and 208,581.58 is: 287,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,389.87 : 412,456.21 = 208,581.58 : x
  2. Step 2: Convert to fraction form
    299,389.87/412,456.21 = 208,581.58/x
  3. Step 3: Cross multiply
    299,389.87x = 412,456.21 × 208,581.58
  4. Step 4: Simplify right side
    299,389.87x = 86,030,767,962.61
  5. Step 5: Solve for x
    x = 86,030,767,962.61/299,389.87
  6. Step 6: Final answer
    x = 287,353.64

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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.