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Finding the Fourth Proportional to 286,533.55, 395,393.16 and 165,682.66

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Solution

The fourth proportional to 286,533.55, 395,393.16 and 165,682.66 is: 228,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,533.55 : 395,393.16 = 165,682.66 : x
  2. Step 2: Convert to fraction form
    286,533.55/395,393.16 = 165,682.66/x
  3. Step 3: Cross multiply
    286,533.55x = 395,393.16 × 165,682.66
  4. Step 4: Simplify right side
    286,533.55x = 65,509,790,494.61
  5. Step 5: Solve for x
    x = 65,509,790,494.61/286,533.55
  6. Step 6: Final answer
    x = 228,628.69

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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.