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Finding the Fourth Proportional to 294,129.84, 405,971.28 and 166,879.92

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Solution

The fourth proportional to 294,129.84, 405,971.28 and 166,879.92 is: 230,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,129.84 : 405,971.28 = 166,879.92 : x
  2. Step 2: Convert to fraction form
    294,129.84/405,971.28 = 166,879.92/x
  3. Step 3: Cross multiply
    294,129.84x = 405,971.28 × 166,879.92
  4. Step 4: Simplify right side
    294,129.84x = 67,748,454,728.70
  5. Step 5: Solve for x
    x = 67,748,454,728.70/294,129.84
  6. Step 6: Final answer
    x = 230,335.20

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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.