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Finding the Fourth Proportional to 285,486.72, 427,909.28 and 135,604.32

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Solution

The fourth proportional to 285,486.72, 427,909.28 and 135,604.32 is: 203,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,486.72 : 427,909.28 = 135,604.32 : x
  2. Step 2: Convert to fraction form
    285,486.72/427,909.28 = 135,604.32/x
  3. Step 3: Cross multiply
    285,486.72x = 427,909.28 × 135,604.32
  4. Step 4: Simplify right side
    285,486.72x = 58,026,346,936.09
  5. Step 5: Solve for x
    x = 58,026,346,936.09/285,486.72
  6. Step 6: Final answer
    x = 203,254.10

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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.