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Finding the Fourth Proportional to 286,447.78, 429,682.47 and 108,921.70

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Solution

The fourth proportional to 286,447.78, 429,682.47 and 108,921.70 is: 163,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,447.78 : 429,682.47 = 108,921.70 : x
  2. Step 2: Convert to fraction form
    286,447.78/429,682.47 = 108,921.70/x
  3. Step 3: Cross multiply
    286,447.78x = 429,682.47 × 108,921.70
  4. Step 4: Simplify right side
    286,447.78x = 46,801,745,092.60
  5. Step 5: Solve for x
    x = 46,801,745,092.60/286,447.78
  6. Step 6: Final answer
    x = 163,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.