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Finding the Fourth Proportional to 286,284.76, 395,080.50 and 158,965.72

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Solution

The fourth proportional to 286,284.76, 395,080.50 and 158,965.72 is: 219,376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,284.76 : 395,080.50 = 158,965.72 : x
  2. Step 2: Convert to fraction form
    286,284.76/395,080.50 = 158,965.72/x
  3. Step 3: Cross multiply
    286,284.76x = 395,080.50 × 158,965.72
  4. Step 4: Simplify right side
    286,284.76x = 62,804,256,140.46
  5. Step 5: Solve for x
    x = 62,804,256,140.46/286,284.76
  6. Step 6: Final answer
    x = 219,376.88

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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.