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Finding the Fourth Proportional to 299,123.61, 412,784.03 and 164,987.61

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Solution

The fourth proportional to 299,123.61, 412,784.03 and 164,987.61 is: 227,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.61 : 412,784.03 = 164,987.61 : x
  2. Step 2: Convert to fraction form
    299,123.61/412,784.03 = 164,987.61/x
  3. Step 3: Cross multiply
    299,123.61x = 412,784.03 × 164,987.61
  4. Step 4: Simplify right side
    299,123.61x = 68,104,249,730.93
  5. Step 5: Solve for x
    x = 68,104,249,730.93/299,123.61
  6. Step 6: Final answer
    x = 227,679.29

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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.