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Finding the Fourth Proportional to 286,480.94, 429,619.78 and 84,020.79

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Solution

The fourth proportional to 286,480.94, 429,619.78 and 84,020.79 is: 126,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,480.94 : 429,619.78 = 84,020.79 : x
  2. Step 2: Convert to fraction form
    286,480.94/429,619.78 = 84,020.79/x
  3. Step 3: Cross multiply
    286,480.94x = 429,619.78 × 84,020.79
  4. Step 4: Simplify right side
    286,480.94x = 36,096,995,031.33
  5. Step 5: Solve for x
    x = 36,096,995,031.33/286,480.94
  6. Step 6: Final answer
    x = 126,001.39

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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.