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Finding the Fourth Proportional to 298,624, 412,101.12 and 164,488

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Solution

The fourth proportional to 298,624, 412,101.12 and 164,488 is: 226,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,624 : 412,101.12 = 164,488 : x
  2. Step 2: Convert to fraction form
    298,624/412,101.12 = 164,488/x
  3. Step 3: Cross multiply
    298,624x = 412,101.12 × 164,488
  4. Step 4: Simplify right side
    298,624x = 67,785,689,026.56
  5. Step 5: Solve for x
    x = 67,785,689,026.56/298,624
  6. Step 6: Final answer
    x = 226,993.44

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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.