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Finding the Fourth Proportional to 286,645.28, 395,583.90 and 159,323

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Solution

The fourth proportional to 286,645.28, 395,583.90 and 159,323 is: 219,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,645.28 : 395,583.90 = 159,323 : x
  2. Step 2: Convert to fraction form
    286,645.28/395,583.90 = 159,323/x
  3. Step 3: Cross multiply
    286,645.28x = 395,583.90 × 159,323
  4. Step 4: Simplify right side
    286,645.28x = 63,025,613,699.70
  5. Step 5: Solve for x
    x = 63,025,613,699.70/286,645.28
  6. Step 6: Final answer
    x = 219,873.20

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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.