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Finding the Fourth Proportional to 287,608.32, 431,133.84 and 109,978.56

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Solution

The fourth proportional to 287,608.32, 431,133.84 and 109,978.56 is: 164,861.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,608.32 : 431,133.84 = 109,978.56 : x
  2. Step 2: Convert to fraction form
    287,608.32/431,133.84 = 109,978.56/x
  3. Step 3: Cross multiply
    287,608.32x = 431,133.84 × 109,978.56
  4. Step 4: Simplify right side
    287,608.32x = 47,415,478,890.47
  5. Step 5: Solve for x
    x = 47,415,478,890.47/287,608.32
  6. Step 6: Final answer
    x = 164,861.29

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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.