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Finding the Fourth Proportional to 287,489.57, 430,757.64 and 174,829.01

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Solution

The fourth proportional to 287,489.57, 430,757.64 and 174,829.01 is: 261,953.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,489.57 : 430,757.64 = 174,829.01 : x
  2. Step 2: Convert to fraction form
    287,489.57/430,757.64 = 174,829.01/x
  3. Step 3: Cross multiply
    287,489.57x = 430,757.64 × 174,829.01
  4. Step 4: Simplify right side
    287,489.57x = 75,308,929,597.35
  5. Step 5: Solve for x
    x = 75,308,929,597.35/287,489.57
  6. Step 6: Final answer
    x = 261,953.61

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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.