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Finding the Fourth Proportional to 287,598.56, 431,351.10 and 135,795.36

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Solution

The fourth proportional to 287,598.56, 431,351.10 and 135,795.36 is: 203,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,598.56 : 431,351.10 = 135,795.36 : x
  2. Step 2: Convert to fraction form
    287,598.56/431,351.10 = 135,795.36/x
  3. Step 3: Cross multiply
    287,598.56x = 431,351.10 × 135,795.36
  4. Step 4: Simplify right side
    287,598.56x = 58,575,477,910.90
  5. Step 5: Solve for x
    x = 58,575,477,910.90/287,598.56
  6. Step 6: Final answer
    x = 203,670.97

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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.