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Finding the Fourth Proportional to 287,564.55, 431,346.83 and 181,276.35

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Solution

The fourth proportional to 287,564.55, 431,346.83 and 181,276.35 is: 271,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,564.55 : 431,346.83 = 181,276.35 : x
  2. Step 2: Convert to fraction form
    287,564.55/431,346.83 = 181,276.35/x
  3. Step 3: Cross multiply
    287,564.55x = 431,346.83 × 181,276.35
  4. Step 4: Simplify right side
    287,564.55x = 78,192,978,020.09
  5. Step 5: Solve for x
    x = 78,192,978,020.09/287,564.55
  6. Step 6: Final answer
    x = 271,914.53

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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.