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Finding the Fourth Proportional to 299,390.37, 412,456.89 and 208,582.08

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Solution

The fourth proportional to 299,390.37, 412,456.89 and 208,582.08 is: 287,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,390.37 : 412,456.89 = 208,582.08 : x
  2. Step 2: Convert to fraction form
    299,390.37/412,456.89 = 208,582.08/x
  3. Step 3: Cross multiply
    299,390.37x = 412,456.89 × 208,582.08
  4. Step 4: Simplify right side
    299,390.37x = 86,031,116,026.53
  5. Step 5: Solve for x
    x = 86,031,116,026.53/299,390.37
  6. Step 6: Final answer
    x = 287,354.32

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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.