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Finding the Fourth Proportional to 287,814.96, 431,783.88 and 100,837.68

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Solution

The fourth proportional to 287,814.96, 431,783.88 and 100,837.68 is: 151,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,814.96 : 431,783.88 = 100,837.68 : x
  2. Step 2: Convert to fraction form
    287,814.96/431,783.88 = 100,837.68/x
  3. Step 3: Cross multiply
    287,814.96x = 431,783.88 × 100,837.68
  4. Step 4: Simplify right side
    287,814.96x = 43,540,084,720.60
  5. Step 5: Solve for x
    x = 43,540,084,720.60/287,814.96
  6. Step 6: Final answer
    x = 151,278.05

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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.