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Finding the Fourth Proportional to 653,232.63, 979,848.58 and 203,992

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Solution

The fourth proportional to 653,232.63, 979,848.58 and 203,992 is: 305,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,232.63 : 979,848.58 = 203,992 : x
  2. Step 2: Convert to fraction form
    653,232.63/979,848.58 = 203,992/x
  3. Step 3: Cross multiply
    653,232.63x = 979,848.58 × 203,992
  4. Step 4: Simplify right side
    653,232.63x = 199,881,271,531.36
  5. Step 5: Solve for x
    x = 199,881,271,531.36/653,232.63
  6. Step 6: Final answer
    x = 305,987.89

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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.