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Finding the Fourth Proportional to 286,761.04, 395,740.20 and 159,442

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Solution

The fourth proportional to 286,761.04, 395,740.20 and 159,442 is: 220,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,761.04 : 395,740.20 = 159,442 : x
  2. Step 2: Convert to fraction form
    286,761.04/395,740.20 = 159,442/x
  3. Step 3: Cross multiply
    286,761.04x = 395,740.20 × 159,442
  4. Step 4: Simplify right side
    286,761.04x = 63,097,608,968.40
  5. Step 5: Solve for x
    x = 63,097,608,968.40/286,761.04
  6. Step 6: Final answer
    x = 220,035.50

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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.