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Finding the Fourth Proportional to 301,288.38, 415,764.07 and 165,319.02

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Solution

The fourth proportional to 301,288.38, 415,764.07 and 165,319.02 is: 228,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,288.38 : 415,764.07 = 165,319.02 : x
  2. Step 2: Convert to fraction form
    301,288.38/415,764.07 = 165,319.02/x
  3. Step 3: Cross multiply
    301,288.38x = 415,764.07 × 165,319.02
  4. Step 4: Simplify right side
    301,288.38x = 68,733,708,603.61
  5. Step 5: Solve for x
    x = 68,733,708,603.61/301,288.38
  6. Step 6: Final answer
    x = 228,132.62

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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.