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Finding the Fourth Proportional to 286,292.26, 395,101.13 and 158,968.77

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Solution

The fourth proportional to 286,292.26, 395,101.13 and 158,968.77 is: 219,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,292.26 : 395,101.13 = 158,968.77 : x
  2. Step 2: Convert to fraction form
    286,292.26/395,101.13 = 158,968.77/x
  3. Step 3: Cross multiply
    286,292.26x = 395,101.13 × 158,968.77
  4. Step 4: Simplify right side
    286,292.26x = 62,808,738,385.24
  5. Step 5: Solve for x
    x = 62,808,738,385.24/286,292.26
  6. Step 6: Final answer
    x = 219,386.78

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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.