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Finding the Fourth Proportional to 286,100.52, 429,190.88 and 86,398.26

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Solution

The fourth proportional to 286,100.52, 429,190.88 and 86,398.26 is: 129,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,100.52 : 429,190.88 = 86,398.26 : x
  2. Step 2: Convert to fraction form
    286,100.52/429,190.88 = 86,398.26/x
  3. Step 3: Cross multiply
    286,100.52x = 429,190.88 × 86,398.26
  4. Step 4: Simplify right side
    286,100.52x = 37,081,345,239.87
  5. Step 5: Solve for x
    x = 37,081,345,239.87/286,100.52
  6. Step 6: Final answer
    x = 129,609.50

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1.5x scale

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.